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Finding the Fourth Proportional to 30,983.77, 46,472.80 and 10,207.27

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Solution

The fourth proportional to 30,983.77, 46,472.80 and 10,207.27 is: 15,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.77 : 46,472.80 = 10,207.27 : x
  2. Step 2: Convert to fraction form
    30,983.77/46,472.80 = 10,207.27/x
  3. Step 3: Cross multiply
    30,983.77x = 46,472.80 × 10,207.27
  4. Step 4: Simplify right side
    30,983.77x = 474,360,417.26
  5. Step 5: Solve for x
    x = 474,360,417.26/30,983.77
  6. Step 6: Final answer
    x = 15,309.96

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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.