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Finding the Fourth Proportional to 37,385.80, 56,165.10 and 25,721.80

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Solution

The fourth proportional to 37,385.80, 56,165.10 and 25,721.80 is: 38,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,385.80 : 56,165.10 = 25,721.80 : x
  2. Step 2: Convert to fraction form
    37,385.80/56,165.10 = 25,721.80/x
  3. Step 3: Cross multiply
    37,385.80x = 56,165.10 × 25,721.80
  4. Step 4: Simplify right side
    37,385.80x = 1,444,667,469.18
  5. Step 5: Solve for x
    x = 1,444,667,469.18/37,385.80
  6. Step 6: Final answer
    x = 38,642.14

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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.