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Finding the Fourth Proportional to 82,378.84, 113,694.94 and 52,166.92

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Solution

The fourth proportional to 82,378.84, 113,694.94 and 52,166.92 is: 71,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378.84 : 113,694.94 = 52,166.92 : x
  2. Step 2: Convert to fraction form
    82,378.84/113,694.94 = 52,166.92/x
  3. Step 3: Cross multiply
    82,378.84x = 113,694.94 × 52,166.92
  4. Step 4: Simplify right side
    82,378.84x = 5,931,114,839.38
  5. Step 5: Solve for x
    x = 5,931,114,839.38/82,378.84
  6. Step 6: Final answer
    x = 71,998.04

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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.