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Finding the Fourth Proportional to 83,468.64, 125,243.46 and 36,715.44

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Solution

The fourth proportional to 83,468.64, 125,243.46 and 36,715.44 is: 55,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,468.64 : 125,243.46 = 36,715.44 : x
  2. Step 2: Convert to fraction form
    83,468.64/125,243.46 = 36,715.44/x
  3. Step 3: Cross multiply
    83,468.64x = 125,243.46 × 36,715.44
  4. Step 4: Simplify right side
    83,468.64x = 4,598,368,741.02
  5. Step 5: Solve for x
    x = 4,598,368,741.02/83,468.64
  6. Step 6: Final answer
    x = 55,090.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.