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Finding the Fourth Proportional to 38,564.64, 53,217.10 and 21,565.47

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Solution

The fourth proportional to 38,564.64, 53,217.10 and 21,565.47 is: 29,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564.64 : 53,217.10 = 21,565.47 : x
  2. Step 2: Convert to fraction form
    38,564.64/53,217.10 = 21,565.47/x
  3. Step 3: Cross multiply
    38,564.64x = 53,217.10 × 21,565.47
  4. Step 4: Simplify right side
    38,564.64x = 1,147,652,000.06
  5. Step 5: Solve for x
    x = 1,147,652,000.06/38,564.64
  6. Step 6: Final answer
    x = 29,759.18

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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.