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Finding the Fourth Proportional to 37,615.20, 56,422.80 and 29,320.80

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Solution

The fourth proportional to 37,615.20, 56,422.80 and 29,320.80 is: 43,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,615.20 : 56,422.80 = 29,320.80 : x
  2. Step 2: Convert to fraction form
    37,615.20/56,422.80 = 29,320.80/x
  3. Step 3: Cross multiply
    37,615.20x = 56,422.80 × 29,320.80
  4. Step 4: Simplify right side
    37,615.20x = 1,654,361,634.24
  5. Step 5: Solve for x
    x = 1,654,361,634.24/37,615.20
  6. Step 6: Final answer
    x = 43,981.20

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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.