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Finding the Fourth Proportional to 83,914.30, 115,803.84 and 45,675.91

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Solution

The fourth proportional to 83,914.30, 115,803.84 and 45,675.91 is: 63,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,914.30 : 115,803.84 = 45,675.91 : x
  2. Step 2: Convert to fraction form
    83,914.30/115,803.84 = 45,675.91/x
  3. Step 3: Cross multiply
    83,914.30x = 115,803.84 × 45,675.91
  4. Step 4: Simplify right side
    83,914.30x = 5,289,445,773.49
  5. Step 5: Solve for x
    x = 5,289,445,773.49/83,914.30
  6. Step 6: Final answer
    x = 63,033.90

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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.