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Finding the Fourth Proportional to 73,842.32, 110,759.16 and 38,759.60

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Solution

The fourth proportional to 73,842.32, 110,759.16 and 38,759.60 is: 58,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,842.32 : 110,759.16 = 38,759.60 : x
  2. Step 2: Convert to fraction form
    73,842.32/110,759.16 = 38,759.60/x
  3. Step 3: Cross multiply
    73,842.32x = 110,759.16 × 38,759.60
  4. Step 4: Simplify right side
    73,842.32x = 4,292,980,737.94
  5. Step 5: Solve for x
    x = 4,292,980,737.94/73,842.32
  6. Step 6: Final answer
    x = 58,137.13

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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.