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Finding the Fourth Proportional to 76,422.80, 114,634.20 and 32,034.80

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Solution

The fourth proportional to 76,422.80, 114,634.20 and 32,034.80 is: 48,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,422.80 : 114,634.20 = 32,034.80 : x
  2. Step 2: Convert to fraction form
    76,422.80/114,634.20 = 32,034.80/x
  3. Step 3: Cross multiply
    76,422.80x = 114,634.20 × 32,034.80
  4. Step 4: Simplify right side
    76,422.80x = 3,672,283,670.16
  5. Step 5: Solve for x
    x = 3,672,283,670.16/76,422.80
  6. Step 6: Final answer
    x = 48,052.20

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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.