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Finding the Fourth Proportional to 113,037.38, 169,635.45 and 46,538

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Solution

The fourth proportional to 113,037.38, 169,635.45 and 46,538 is: 69,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,037.38 : 169,635.45 = 46,538 : x
  2. Step 2: Convert to fraction form
    113,037.38/169,635.45 = 46,538/x
  3. Step 3: Cross multiply
    113,037.38x = 169,635.45 × 46,538
  4. Step 4: Simplify right side
    113,037.38x = 7,894,494,572.10
  5. Step 5: Solve for x
    x = 7,894,494,572.10/113,037.38
  6. Step 6: Final answer
    x = 69,839.68

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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.