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Finding the Fourth Proportional to 38,487.20, 53,107.02 and 21,489.47

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Solution

The fourth proportional to 38,487.20, 53,107.02 and 21,489.47 is: 29,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,487.20 : 53,107.02 = 21,489.47 : x
  2. Step 2: Convert to fraction form
    38,487.20/53,107.02 = 21,489.47/x
  3. Step 3: Cross multiply
    38,487.20x = 53,107.02 × 21,489.47
  4. Step 4: Simplify right side
    38,487.20x = 1,141,241,447.54
  5. Step 5: Solve for x
    x = 1,141,241,447.54/38,487.20
  6. Step 6: Final answer
    x = 29,652.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.