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Finding the Fourth Proportional to 38,719, 53,432.78 and 22,585.86

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Solution

The fourth proportional to 38,719, 53,432.78 and 22,585.86 is: 31,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,719 : 53,432.78 = 22,585.86 : x
  2. Step 2: Convert to fraction form
    38,719/53,432.78 = 22,585.86/x
  3. Step 3: Cross multiply
    38,719x = 53,432.78 × 22,585.86
  4. Step 4: Simplify right side
    38,719x = 1,206,825,288.49
  5. Step 5: Solve for x
    x = 1,206,825,288.49/38,719
  6. Step 6: Final answer
    x = 31,168.81

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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.