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Finding the Fourth Proportional to 83,563.62, 115,319.62 and 45,837.88

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Solution

The fourth proportional to 83,563.62, 115,319.62 and 45,837.88 is: 63,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,563.62 : 115,319.62 = 45,837.88 : x
  2. Step 2: Convert to fraction form
    83,563.62/115,319.62 = 45,837.88/x
  3. Step 3: Cross multiply
    83,563.62x = 115,319.62 × 45,837.88
  4. Step 4: Simplify right side
    83,563.62x = 5,286,006,903.21
  5. Step 5: Solve for x
    x = 5,286,006,903.21/83,563.62
  6. Step 6: Final answer
    x = 63,257.28

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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.