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Finding the Fourth Proportional to 83,492.16, 115,218.30 and 45,766.20

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Solution

The fourth proportional to 83,492.16, 115,218.30 and 45,766.20 is: 63,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,492.16 : 115,218.30 = 45,766.20 : x
  2. Step 2: Convert to fraction form
    83,492.16/115,218.30 = 45,766.20/x
  3. Step 3: Cross multiply
    83,492.16x = 115,218.30 × 45,766.20
  4. Step 4: Simplify right side
    83,492.16x = 5,273,103,761.46
  5. Step 5: Solve for x
    x = 5,273,103,761.46/83,492.16
  6. Step 6: Final answer
    x = 63,156.87

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1.5x scale

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.