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Finding the Fourth Proportional to 46,933.98, 64,768.98 and 25,713.19

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Solution

The fourth proportional to 46,933.98, 64,768.98 and 25,713.19 is: 35,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,933.98 : 64,768.98 = 25,713.19 : x
  2. Step 2: Convert to fraction form
    46,933.98/64,768.98 = 25,713.19/x
  3. Step 3: Cross multiply
    46,933.98x = 64,768.98 × 25,713.19
  4. Step 4: Simplify right side
    46,933.98x = 1,665,417,088.85
  5. Step 5: Solve for x
    x = 1,665,417,088.85/46,933.98
  6. Step 6: Final answer
    x = 35,484.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.