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Finding the Fourth Proportional to 72,371.80, 108,531.04 and 24,974.80

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Solution

The fourth proportional to 72,371.80, 108,531.04 and 24,974.80 is: 37,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,371.80 : 108,531.04 = 24,974.80 : x
  2. Step 2: Convert to fraction form
    72,371.80/108,531.04 = 24,974.80/x
  3. Step 3: Cross multiply
    72,371.80x = 108,531.04 × 24,974.80
  4. Step 4: Simplify right side
    72,371.80x = 2,710,540,730.86
  5. Step 5: Solve for x
    x = 2,710,540,730.86/72,371.80
  6. Step 6: Final answer
    x = 37,453.00

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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.