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Finding the Fourth Proportional to 32,506.88, 48,760.31 and 7,882.88

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Solution

The fourth proportional to 32,506.88, 48,760.31 and 7,882.88 is: 11,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.88 : 48,760.31 = 7,882.88 : x
  2. Step 2: Convert to fraction form
    32,506.88/48,760.31 = 7,882.88/x
  3. Step 3: Cross multiply
    32,506.88x = 48,760.31 × 7,882.88
  4. Step 4: Simplify right side
    32,506.88x = 384,371,448.40
  5. Step 5: Solve for x
    x = 384,371,448.40/32,506.88
  6. Step 6: Final answer
    x = 11,824.31

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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.