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Finding the Fourth Proportional to 38,729.66, 53,442.54 and 21,731.68

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Solution

The fourth proportional to 38,729.66, 53,442.54 and 21,731.68 is: 29,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,729.66 : 53,442.54 = 21,731.68 : x
  2. Step 2: Convert to fraction form
    38,729.66/53,442.54 = 21,731.68/x
  3. Step 3: Cross multiply
    38,729.66x = 53,442.54 × 21,731.68
  4. Step 4: Simplify right side
    38,729.66x = 1,161,396,177.67
  5. Step 5: Solve for x
    x = 1,161,396,177.67/38,729.66
  6. Step 6: Final answer
    x = 29,987.25

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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.