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Finding the Fourth Proportional to 51,472.76, 77,209.78 and 14,034.68

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Solution

The fourth proportional to 51,472.76, 77,209.78 and 14,034.68 is: 21,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,472.76 : 77,209.78 = 14,034.68 : x
  2. Step 2: Convert to fraction form
    51,472.76/77,209.78 = 14,034.68/x
  3. Step 3: Cross multiply
    51,472.76x = 77,209.78 × 14,034.68
  4. Step 4: Simplify right side
    51,472.76x = 1,083,614,555.17
  5. Step 5: Solve for x
    x = 1,083,614,555.17/51,472.76
  6. Step 6: Final answer
    x = 21,052.19

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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.