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Finding the Fourth Proportional to 38,654.46, 53,345.70 and 21,657.78

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Solution

The fourth proportional to 38,654.46, 53,345.70 and 21,657.78 is: 29,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,654.46 : 53,345.70 = 21,657.78 : x
  2. Step 2: Convert to fraction form
    38,654.46/53,345.70 = 21,657.78/x
  3. Step 3: Cross multiply
    38,654.46x = 53,345.70 × 21,657.78
  4. Step 4: Simplify right side
    38,654.46x = 1,155,349,434.55
  5. Step 5: Solve for x
    x = 1,155,349,434.55/38,654.46
  6. Step 6: Final answer
    x = 29,889.16

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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.