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Finding the Fourth Proportional to 57,802.80, 86,639.40 and 24,517.20

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Solution

The fourth proportional to 57,802.80, 86,639.40 and 24,517.20 is: 36,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802.80 : 86,639.40 = 24,517.20 : x
  2. Step 2: Convert to fraction form
    57,802.80/86,639.40 = 24,517.20/x
  3. Step 3: Cross multiply
    57,802.80x = 86,639.40 × 24,517.20
  4. Step 4: Simplify right side
    57,802.80x = 2,124,155,497.68
  5. Step 5: Solve for x
    x = 2,124,155,497.68/57,802.80
  6. Step 6: Final answer
    x = 36,748.31

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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.