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Finding the Fourth Proportional to 82,394.70, 113,716.80 and 52,182.82

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Solution

The fourth proportional to 82,394.70, 113,716.80 and 52,182.82 is: 72,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,394.70 : 113,716.80 = 52,182.82 : x
  2. Step 2: Convert to fraction form
    82,394.70/113,716.80 = 52,182.82/x
  3. Step 3: Cross multiply
    82,394.70x = 113,716.80 × 52,182.82
  4. Step 4: Simplify right side
    82,394.70x = 5,934,063,305.38
  5. Step 5: Solve for x
    x = 5,934,063,305.38/82,394.70
  6. Step 6: Final answer
    x = 72,019.96

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1.5x scale

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.