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Finding the Fourth Proportional to 48,642.75, 72,869.72 and 31,952.14

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Solution

The fourth proportional to 48,642.75, 72,869.72 and 31,952.14 is: 47,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642.75 : 72,869.72 = 31,952.14 : x
  2. Step 2: Convert to fraction form
    48,642.75/72,869.72 = 31,952.14/x
  3. Step 3: Cross multiply
    48,642.75x = 72,869.72 × 31,952.14
  4. Step 4: Simplify right side
    48,642.75x = 2,328,343,153.27
  5. Step 5: Solve for x
    x = 2,328,343,153.27/48,642.75
  6. Step 6: Final answer
    x = 47,866.19

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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.