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Finding the Fourth Proportional to 82,912.41, 114,437.60 and 52,691.84

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Solution

The fourth proportional to 82,912.41, 114,437.60 and 52,691.84 is: 72,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.41 : 114,437.60 = 52,691.84 : x
  2. Step 2: Convert to fraction form
    82,912.41/114,437.60 = 52,691.84/x
  3. Step 3: Cross multiply
    82,912.41x = 114,437.60 × 52,691.84
  4. Step 4: Simplify right side
    82,912.41x = 6,029,926,873.54
  5. Step 5: Solve for x
    x = 6,029,926,873.54/82,912.41
  6. Step 6: Final answer
    x = 72,726.47

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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.