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Finding the Fourth Proportional to 83,085, 114,656.72 and 45,359.24

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Solution

The fourth proportional to 83,085, 114,656.72 and 45,359.24 is: 62,595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085 : 114,656.72 = 45,359.24 : x
  2. Step 2: Convert to fraction form
    83,085/114,656.72 = 45,359.24/x
  3. Step 3: Cross multiply
    83,085x = 114,656.72 × 45,359.24
  4. Step 4: Simplify right side
    83,085x = 5,200,741,680.09
  5. Step 5: Solve for x
    x = 5,200,741,680.09/83,085
  6. Step 6: Final answer
    x = 62,595.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.