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Finding the Fourth Proportional to 32,657.64, 48,986.48 and 11,882.76

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Solution

The fourth proportional to 32,657.64, 48,986.48 and 11,882.76 is: 17,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.64 : 48,986.48 = 11,882.76 : x
  2. Step 2: Convert to fraction form
    32,657.64/48,986.48 = 11,882.76/x
  3. Step 3: Cross multiply
    32,657.64x = 48,986.48 × 11,882.76
  4. Step 4: Simplify right side
    32,657.64x = 582,094,585.08
  5. Step 5: Solve for x
    x = 582,094,585.08/32,657.64
  6. Step 6: Final answer
    x = 17,824.15

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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.