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Finding the Fourth Proportional to 37,151.20, 55,726.80 and 35,423.20

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Solution

The fourth proportional to 37,151.20, 55,726.80 and 35,423.20 is: 53,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,151.20 : 55,726.80 = 35,423.20 : x
  2. Step 2: Convert to fraction form
    37,151.20/55,726.80 = 35,423.20/x
  3. Step 3: Cross multiply
    37,151.20x = 55,726.80 × 35,423.20
  4. Step 4: Simplify right side
    37,151.20x = 1,974,021,581.76
  5. Step 5: Solve for x
    x = 1,974,021,581.76/37,151.20
  6. Step 6: Final answer
    x = 53,134.80

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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.