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Finding the Fourth Proportional to 51,006.38, 70,397.16 and 42,495

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Solution

The fourth proportional to 51,006.38, 70,397.16 and 42,495 is: 58,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,006.38 : 70,397.16 = 42,495 : x
  2. Step 2: Convert to fraction form
    51,006.38/70,397.16 = 42,495/x
  3. Step 3: Cross multiply
    51,006.38x = 70,397.16 × 42,495
  4. Step 4: Simplify right side
    51,006.38x = 2,991,527,101.73
  5. Step 5: Solve for x
    x = 2,991,527,101.73/51,006.38
  6. Step 6: Final answer
    x = 58,650.06

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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.