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Finding the Fourth Proportional to 38,489.64, 53,115.18 and 21,494.16

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Solution

The fourth proportional to 38,489.64, 53,115.18 and 21,494.16 is: 29,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.64 : 53,115.18 = 21,494.16 : x
  2. Step 2: Convert to fraction form
    38,489.64/53,115.18 = 21,494.16/x
  3. Step 3: Cross multiply
    38,489.64x = 53,115.18 × 21,494.16
  4. Step 4: Simplify right side
    38,489.64x = 1,141,666,177.35
  5. Step 5: Solve for x
    x = 1,141,666,177.35/38,489.64
  6. Step 6: Final answer
    x = 29,661.65

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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.