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Finding the Fourth Proportional to 82,503.37, 113,854.62 and 44,777.62

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Solution

The fourth proportional to 82,503.37, 113,854.62 and 44,777.62 is: 61,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,503.37 : 113,854.62 = 44,777.62 : x
  2. Step 2: Convert to fraction form
    82,503.37/113,854.62 = 44,777.62/x
  3. Step 3: Cross multiply
    82,503.37x = 113,854.62 × 44,777.62
  4. Step 4: Simplify right side
    82,503.37x = 5,098,138,909.60
  5. Step 5: Solve for x
    x = 5,098,138,909.60/82,503.37
  6. Step 6: Final answer
    x = 61,793.10

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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.