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Finding the Fourth Proportional to 32,583.82, 48,882.84 and 12,593.02

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Solution

The fourth proportional to 32,583.82, 48,882.84 and 12,593.02 is: 18,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583.82 : 48,882.84 = 12,593.02 : x
  2. Step 2: Convert to fraction form
    32,583.82/48,882.84 = 12,593.02/x
  3. Step 3: Cross multiply
    32,583.82x = 48,882.84 × 12,593.02
  4. Step 4: Simplify right side
    32,583.82x = 615,582,581.78
  5. Step 5: Solve for x
    x = 615,582,581.78/32,583.82
  6. Step 6: Final answer
    x = 18,892.28

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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.