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Finding the Fourth Proportional to 82,394.75, 113,716.88 and 52,182.88

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Solution

The fourth proportional to 82,394.75, 113,716.88 and 52,182.88 is: 72,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,394.75 : 113,716.88 = 52,182.88 : x
  2. Step 2: Convert to fraction form
    82,394.75/113,716.88 = 52,182.88/x
  3. Step 3: Cross multiply
    82,394.75x = 113,716.88 × 52,182.88
  4. Step 4: Simplify right side
    82,394.75x = 5,934,074,303.01
  5. Step 5: Solve for x
    x = 5,934,074,303.01/82,394.75
  6. Step 6: Final answer
    x = 72,020.05

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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.