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Finding the Fourth Proportional to 38,439.60, 53,049.24 and 21,446.88

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Solution

The fourth proportional to 38,439.60, 53,049.24 and 21,446.88 is: 29,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,439.60 : 53,049.24 = 21,446.88 : x
  2. Step 2: Convert to fraction form
    38,439.60/53,049.24 = 21,446.88/x
  3. Step 3: Cross multiply
    38,439.60x = 53,049.24 × 21,446.88
  4. Step 4: Simplify right side
    38,439.60x = 1,137,740,684.37
  5. Step 5: Solve for x
    x = 1,137,740,684.37/38,439.60
  6. Step 6: Final answer
    x = 29,598.14

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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.