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Finding the Fourth Proportional to 32,505.14, 48,757.68 and 7,881.14

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Solution

The fourth proportional to 32,505.14, 48,757.68 and 7,881.14 is: 11,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505.14 : 48,757.68 = 7,881.14 : x
  2. Step 2: Convert to fraction form
    32,505.14/48,757.68 = 7,881.14/x
  3. Step 3: Cross multiply
    32,505.14x = 48,757.68 × 7,881.14
  4. Step 4: Simplify right side
    32,505.14x = 384,266,102.16
  5. Step 5: Solve for x
    x = 384,266,102.16/32,505.14
  6. Step 6: Final answer
    x = 11,821.70

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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.