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Finding the Fourth Proportional to 32,766.32, 45,200.28 and 22,159.52

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Solution

The fourth proportional to 32,766.32, 45,200.28 and 22,159.52 is: 30,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,766.32 : 45,200.28 = 22,159.52 : x
  2. Step 2: Convert to fraction form
    32,766.32/45,200.28 = 22,159.52/x
  3. Step 3: Cross multiply
    32,766.32x = 45,200.28 × 22,159.52
  4. Step 4: Simplify right side
    32,766.32x = 1,001,616,508.67
  5. Step 5: Solve for x
    x = 1,001,616,508.67/32,766.32
  6. Step 6: Final answer
    x = 30,568.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.