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Finding the Fourth Proportional to 30,976,394.77, 46,471,859.48 and 30,462,274.81

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Solution

The fourth proportional to 30,976,394.77, 46,471,859.48 and 30,462,274.81 is: 45,700,558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976,394.77 : 46,471,859.48 = 30,462,274.81 : x
  2. Step 2: Convert to fraction form
    30,976,394.77/46,471,859.48 = 30,462,274.81/x
  3. Step 3: Cross multiply
    30,976,394.77x = 46,471,859.48 × 30,462,274.81
  4. Step 4: Simplify right side
    30,976,394.77x = 1,415,638,554,411,463.50
  5. Step 5: Solve for x
    x = 1,415,638,554,411,463.50/30,976,394.77
  6. Step 6: Final answer
    x = 45,700,558.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.