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Finding the Fourth Proportional to 83,492.32, 125,251.44 and 28,084

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Solution

The fourth proportional to 83,492.32, 125,251.44 and 28,084 is: 42,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,492.32 : 125,251.44 = 28,084 : x
  2. Step 2: Convert to fraction form
    83,492.32/125,251.44 = 28,084/x
  3. Step 3: Cross multiply
    83,492.32x = 125,251.44 × 28,084
  4. Step 4: Simplify right side
    83,492.32x = 3,517,561,440.96
  5. Step 5: Solve for x
    x = 3,517,561,440.96/83,492.32
  6. Step 6: Final answer
    x = 42,130.36

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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.