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Finding the Fourth Proportional to 32,532.56, 48,799.20 and 9,159.20

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Solution

The fourth proportional to 32,532.56, 48,799.20 and 9,159.20 is: 13,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,532.56 : 48,799.20 = 9,159.20 : x
  2. Step 2: Convert to fraction form
    32,532.56/48,799.20 = 9,159.20/x
  3. Step 3: Cross multiply
    32,532.56x = 48,799.20 × 9,159.20
  4. Step 4: Simplify right side
    32,532.56x = 446,961,632.64
  5. Step 5: Solve for x
    x = 446,961,632.64/32,532.56
  6. Step 6: Final answer
    x = 13,738.90

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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.