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Finding the Fourth Proportional to 52,568.80, 78,853.20 and 15,632.80

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Solution

The fourth proportional to 52,568.80, 78,853.20 and 15,632.80 is: 23,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,568.80 : 78,853.20 = 15,632.80 : x
  2. Step 2: Convert to fraction form
    52,568.80/78,853.20 = 15,632.80/x
  3. Step 3: Cross multiply
    52,568.80x = 78,853.20 × 15,632.80
  4. Step 4: Simplify right side
    52,568.80x = 1,232,696,304.96
  5. Step 5: Solve for x
    x = 1,232,696,304.96/52,568.80
  6. Step 6: Final answer
    x = 23,449.20

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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.