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Finding the Fourth Proportional to 54,934.40, 82,401.60 and 32,772.80

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Solution

The fourth proportional to 54,934.40, 82,401.60 and 32,772.80 is: 49,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,934.40 : 82,401.60 = 32,772.80 : x
  2. Step 2: Convert to fraction form
    54,934.40/82,401.60 = 32,772.80/x
  3. Step 3: Cross multiply
    54,934.40x = 82,401.60 × 32,772.80
  4. Step 4: Simplify right side
    54,934.40x = 2,700,531,156.48
  5. Step 5: Solve for x
    x = 2,700,531,156.48/54,934.40
  6. Step 6: Final answer
    x = 49,159.20

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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.