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Finding the Fourth Proportional to 32,446.40, 48,691.84 and 21,358.40

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Solution

The fourth proportional to 32,446.40, 48,691.84 and 21,358.40 is: 32,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.40 : 48,691.84 = 21,358.40 : x
  2. Step 2: Convert to fraction form
    32,446.40/48,691.84 = 21,358.40/x
  3. Step 3: Cross multiply
    32,446.40x = 48,691.84 × 21,358.40
  4. Step 4: Simplify right side
    32,446.40x = 1,039,979,795.46
  5. Step 5: Solve for x
    x = 1,039,979,795.46/32,446.40
  6. Step 6: Final answer
    x = 32,052.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.