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Finding the Fourth Proportional to 38,498.68, 53,128.02 and 21,731.32

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Solution

The fourth proportional to 38,498.68, 53,128.02 and 21,731.32 is: 29,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.68 : 53,128.02 = 21,731.32 : x
  2. Step 2: Convert to fraction form
    38,498.68/53,128.02 = 21,731.32/x
  3. Step 3: Cross multiply
    38,498.68x = 53,128.02 × 21,731.32
  4. Step 4: Simplify right side
    38,498.68x = 1,154,542,003.59
  5. Step 5: Solve for x
    x = 1,154,542,003.59/38,498.68
  6. Step 6: Final answer
    x = 29,989.13

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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.