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Finding the Fourth Proportional to 57,767.84, 86,601.12 and 27,767.08

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Solution

The fourth proportional to 57,767.84, 86,601.12 and 27,767.08 is: 41,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,767.84 : 86,601.12 = 27,767.08 : x
  2. Step 2: Convert to fraction form
    57,767.84/86,601.12 = 27,767.08/x
  3. Step 3: Cross multiply
    57,767.84x = 86,601.12 × 27,767.08
  4. Step 4: Simplify right side
    57,767.84x = 2,404,660,227.13
  5. Step 5: Solve for x
    x = 2,404,660,227.13/57,767.84
  6. Step 6: Final answer
    x = 41,626.28

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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.