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Finding the Fourth Proportional to 83,213.64, 114,834.24 and 45,487.98

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Solution

The fourth proportional to 83,213.64, 114,834.24 and 45,487.98 is: 62,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,213.64 : 114,834.24 = 45,487.98 : x
  2. Step 2: Convert to fraction form
    83,213.64/114,834.24 = 45,487.98/x
  3. Step 3: Cross multiply
    83,213.64x = 114,834.24 × 45,487.98
  4. Step 4: Simplify right side
    83,213.64x = 5,223,577,612.44
  5. Step 5: Solve for x
    x = 5,223,577,612.44/83,213.64
  6. Step 6: Final answer
    x = 62,773.09

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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.