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Finding the Fourth Proportional to 83,570.64, 115,327.50 and 45,844.88

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Solution

The fourth proportional to 83,570.64, 115,327.50 and 45,844.88 is: 63,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,570.64 : 115,327.50 = 45,844.88 : x
  2. Step 2: Convert to fraction form
    83,570.64/115,327.50 = 45,844.88/x
  3. Step 3: Cross multiply
    83,570.64x = 115,327.50 × 45,844.88
  4. Step 4: Simplify right side
    83,570.64x = 5,287,175,398.20
  5. Step 5: Solve for x
    x = 5,287,175,398.20/83,570.64
  6. Step 6: Final answer
    x = 63,265.94

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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.