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Finding the Fourth Proportional to 52,112.28, 71,915.20 and 28,239

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Solution

The fourth proportional to 52,112.28, 71,915.20 and 28,239 is: 38,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,112.28 : 71,915.20 = 28,239 : x
  2. Step 2: Convert to fraction form
    52,112.28/71,915.20 = 28,239/x
  3. Step 3: Cross multiply
    52,112.28x = 71,915.20 × 28,239
  4. Step 4: Simplify right side
    52,112.28x = 2,030,813,332.80
  5. Step 5: Solve for x
    x = 2,030,813,332.80/52,112.28
  6. Step 6: Final answer
    x = 38,969.96

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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.