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Finding the Fourth Proportional to 54,948.80, 82,423.20 and 41,124.80

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Solution

The fourth proportional to 54,948.80, 82,423.20 and 41,124.80 is: 61,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,948.80 : 82,423.20 = 41,124.80 : x
  2. Step 2: Convert to fraction form
    54,948.80/82,423.20 = 41,124.80/x
  3. Step 3: Cross multiply
    54,948.80x = 82,423.20 × 41,124.80
  4. Step 4: Simplify right side
    54,948.80x = 3,389,637,615.36
  5. Step 5: Solve for x
    x = 3,389,637,615.36/54,948.80
  6. Step 6: Final answer
    x = 61,687.20

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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.