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Finding the Fourth Proportional to 32,068.40, 48,107.87 and 9,881.78

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Solution

The fourth proportional to 32,068.40, 48,107.87 and 9,881.78 is: 14,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,068.40 : 48,107.87 = 9,881.78 : x
  2. Step 2: Convert to fraction form
    32,068.40/48,107.87 = 9,881.78/x
  3. Step 3: Cross multiply
    32,068.40x = 48,107.87 × 9,881.78
  4. Step 4: Simplify right side
    32,068.40x = 475,391,338.20
  5. Step 5: Solve for x
    x = 475,391,338.20/32,068.40
  6. Step 6: Final answer
    x = 14,824.29

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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.