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Finding the Fourth Proportional to 41,807.34, 62,714.52 and 10,642.50

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Solution

The fourth proportional to 41,807.34, 62,714.52 and 10,642.50 is: 15,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,807.34 : 62,714.52 = 10,642.50 : x
  2. Step 2: Convert to fraction form
    41,807.34/62,714.52 = 10,642.50/x
  3. Step 3: Cross multiply
    41,807.34x = 62,714.52 × 10,642.50
  4. Step 4: Simplify right side
    41,807.34x = 667,439,279.10
  5. Step 5: Solve for x
    x = 667,439,279.10/41,807.34
  6. Step 6: Final answer
    x = 15,964.64

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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.