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Finding the Fourth Proportional to 38,770.80, 53,508.78 and 22,856.73

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Solution

The fourth proportional to 38,770.80, 53,508.78 and 22,856.73 is: 31,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,770.80 : 53,508.78 = 22,856.73 : x
  2. Step 2: Convert to fraction form
    38,770.80/53,508.78 = 22,856.73/x
  3. Step 3: Cross multiply
    38,770.80x = 53,508.78 × 22,856.73
  4. Step 4: Simplify right side
    38,770.80x = 1,223,035,737.09
  5. Step 5: Solve for x
    x = 1,223,035,737.09/38,770.80
  6. Step 6: Final answer
    x = 31,545.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.