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Finding the Fourth Proportional to 32,446.40, 48,691.20 and 14,907.20

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Solution

The fourth proportional to 32,446.40, 48,691.20 and 14,907.20 is: 22,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.40 : 48,691.20 = 14,907.20 : x
  2. Step 2: Convert to fraction form
    32,446.40/48,691.20 = 14,907.20/x
  3. Step 3: Cross multiply
    32,446.40x = 48,691.20 × 14,907.20
  4. Step 4: Simplify right side
    32,446.40x = 725,849,456.64
  5. Step 5: Solve for x
    x = 725,849,456.64/32,446.40
  6. Step 6: Final answer
    x = 22,370.72

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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.