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Finding the Fourth Proportional to 97,542.80, 146,265.60 and 44,892.80

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Solution

The fourth proportional to 97,542.80, 146,265.60 and 44,892.80 is: 67,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,542.80 : 146,265.60 = 44,892.80 : x
  2. Step 2: Convert to fraction form
    97,542.80/146,265.60 = 44,892.80/x
  3. Step 3: Cross multiply
    97,542.80x = 146,265.60 × 44,892.80
  4. Step 4: Simplify right side
    97,542.80x = 6,566,272,327.68
  5. Step 5: Solve for x
    x = 6,566,272,327.68/97,542.80
  6. Step 6: Final answer
    x = 67,316.83

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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.