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Finding the Fourth Proportional to 32,322.78, 48,478.68 and 8,943.75

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Solution

The fourth proportional to 32,322.78, 48,478.68 and 8,943.75 is: 13,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322.78 : 48,478.68 = 8,943.75 : x
  2. Step 2: Convert to fraction form
    32,322.78/48,478.68 = 8,943.75/x
  3. Step 3: Cross multiply
    32,322.78x = 48,478.68 × 8,943.75
  4. Step 4: Simplify right side
    32,322.78x = 433,581,194.25
  5. Step 5: Solve for x
    x = 433,581,194.25/32,322.78
  6. Step 6: Final answer
    x = 13,414.11

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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.