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Finding the Fourth Proportional to 32,023.52, 48,034.92 and 14,481.20

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Solution

The fourth proportional to 32,023.52, 48,034.92 and 14,481.20 is: 21,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.52 : 48,034.92 = 14,481.20 : x
  2. Step 2: Convert to fraction form
    32,023.52/48,034.92 = 14,481.20/x
  3. Step 3: Cross multiply
    32,023.52x = 48,034.92 × 14,481.20
  4. Step 4: Simplify right side
    32,023.52x = 695,603,283.50
  5. Step 5: Solve for x
    x = 695,603,283.50/32,023.52
  6. Step 6: Final answer
    x = 21,721.64

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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.