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Finding the Fourth Proportional to 78,582.73, 108,446.51 and 48,385.47

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Solution

The fourth proportional to 78,582.73, 108,446.51 and 48,385.47 is: 66,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,582.73 : 108,446.51 = 48,385.47 : x
  2. Step 2: Convert to fraction form
    78,582.73/108,446.51 = 48,385.47/x
  3. Step 3: Cross multiply
    78,582.73x = 108,446.51 × 48,385.47
  4. Step 4: Simplify right side
    78,582.73x = 5,247,235,356.21
  5. Step 5: Solve for x
    x = 5,247,235,356.21/78,582.73
  6. Step 6: Final answer
    x = 66,773.39

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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.