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Finding the Fourth Proportional to 73,553.60, 110,344.80 and 31,433.60

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Solution

The fourth proportional to 73,553.60, 110,344.80 and 31,433.60 is: 47,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,553.60 : 110,344.80 = 31,433.60 : x
  2. Step 2: Convert to fraction form
    73,553.60/110,344.80 = 31,433.60/x
  3. Step 3: Cross multiply
    73,553.60x = 110,344.80 × 31,433.60
  4. Step 4: Simplify right side
    73,553.60x = 3,468,534,305.28
  5. Step 5: Solve for x
    x = 3,468,534,305.28/73,553.60
  6. Step 6: Final answer
    x = 47,156.55

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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.