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Finding the Fourth Proportional to 38,796.50, 53,545.66 and 22,884.86

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Solution

The fourth proportional to 38,796.50, 53,545.66 and 22,884.86 is: 31,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,796.50 : 53,545.66 = 22,884.86 : x
  2. Step 2: Convert to fraction form
    38,796.50/53,545.66 = 22,884.86/x
  3. Step 3: Cross multiply
    38,796.50x = 53,545.66 × 22,884.86
  4. Step 4: Simplify right side
    38,796.50x = 1,225,384,932.71
  5. Step 5: Solve for x
    x = 1,225,384,932.71/38,796.50
  6. Step 6: Final answer
    x = 31,584.94

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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.