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Finding the Fourth Proportional to 74,098.50, 102,246.37 and 42,265.50

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Solution

The fourth proportional to 74,098.50, 102,246.37 and 42,265.50 is: 58,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,098.50 : 102,246.37 = 42,265.50 : x
  2. Step 2: Convert to fraction form
    74,098.50/102,246.37 = 42,265.50/x
  3. Step 3: Cross multiply
    74,098.50x = 102,246.37 × 42,265.50
  4. Step 4: Simplify right side
    74,098.50x = 4,321,493,951.24
  5. Step 5: Solve for x
    x = 4,321,493,951.24/74,098.50
  6. Step 6: Final answer
    x = 58,320.94

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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.