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Finding the Fourth Proportional to 52,007.32, 71,770 and 28,134.04

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Solution

The fourth proportional to 52,007.32, 71,770 and 28,134.04 is: 38,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,007.32 : 71,770 = 28,134.04 : x
  2. Step 2: Convert to fraction form
    52,007.32/71,770 = 28,134.04/x
  3. Step 3: Cross multiply
    52,007.32x = 71,770 × 28,134.04
  4. Step 4: Simplify right side
    52,007.32x = 2,019,180,050.80
  5. Step 5: Solve for x
    x = 2,019,180,050.80/52,007.32
  6. Step 6: Final answer
    x = 38,824.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.