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Finding the Fourth Proportional to 32,665.92, 48,960 and 22,751.52

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Solution

The fourth proportional to 32,665.92, 48,960 and 22,751.52 is: 34,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,665.92 : 48,960 = 22,751.52 : x
  2. Step 2: Convert to fraction form
    32,665.92/48,960 = 22,751.52/x
  3. Step 3: Cross multiply
    32,665.92x = 48,960 × 22,751.52
  4. Step 4: Simplify right side
    32,665.92x = 1,113,914,419.20
  5. Step 5: Solve for x
    x = 1,113,914,419.20/32,665.92
  6. Step 6: Final answer
    x = 34,100.20

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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.