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Finding the Fourth Proportional to 38,654.50, 53,343.21 and 21,887.50

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Solution

The fourth proportional to 38,654.50, 53,343.21 and 21,887.50 is: 30,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,654.50 : 53,343.21 = 21,887.50 : x
  2. Step 2: Convert to fraction form
    38,654.50/53,343.21 = 21,887.50/x
  3. Step 3: Cross multiply
    38,654.50x = 53,343.21 × 21,887.50
  4. Step 4: Simplify right side
    38,654.50x = 1,167,549,508.88
  5. Step 5: Solve for x
    x = 1,167,549,508.88/38,654.50
  6. Step 6: Final answer
    x = 30,204.75

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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.