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Finding the Fourth Proportional to 82,351.87, 123,526.50 and 26,191.16

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Solution

The fourth proportional to 82,351.87, 123,526.50 and 26,191.16 is: 39,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,351.87 : 123,526.50 = 26,191.16 : x
  2. Step 2: Convert to fraction form
    82,351.87/123,526.50 = 26,191.16/x
  3. Step 3: Cross multiply
    82,351.87x = 123,526.50 × 26,191.16
  4. Step 4: Simplify right side
    82,351.87x = 3,235,302,325.74
  5. Step 5: Solve for x
    x = 3,235,302,325.74/82,351.87
  6. Step 6: Final answer
    x = 39,286.32

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Double scale
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1.5x scale

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.