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Finding the Fourth Proportional to 38,742.62, 53,464.78 and 21,746.86

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Solution

The fourth proportional to 38,742.62, 53,464.78 and 21,746.86 is: 30,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742.62 : 53,464.78 = 21,746.86 : x
  2. Step 2: Convert to fraction form
    38,742.62/53,464.78 = 21,746.86/x
  3. Step 3: Cross multiply
    38,742.62x = 53,464.78 × 21,746.86
  4. Step 4: Simplify right side
    38,742.62x = 1,162,690,897.56
  5. Step 5: Solve for x
    x = 1,162,690,897.56/38,742.62
  6. Step 6: Final answer
    x = 30,010.65

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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.