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Finding the Fourth Proportional to 59,793.30, 82,478.77 and 38,287.70

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Solution

The fourth proportional to 59,793.30, 82,478.77 and 38,287.70 is: 52,813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,793.30 : 82,478.77 = 38,287.70 : x
  2. Step 2: Convert to fraction form
    59,793.30/82,478.77 = 38,287.70/x
  3. Step 3: Cross multiply
    59,793.30x = 82,478.77 × 38,287.70
  4. Step 4: Simplify right side
    59,793.30x = 3,157,922,402.13
  5. Step 5: Solve for x
    x = 3,157,922,402.13/59,793.30
  6. Step 6: Final answer
    x = 52,813.98

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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.