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Finding the Fourth Proportional to 57,164.84, 85,747.26 and 23,866.78

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Solution

The fourth proportional to 57,164.84, 85,747.26 and 23,866.78 is: 35,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,164.84 : 85,747.26 = 23,866.78 : x
  2. Step 2: Convert to fraction form
    57,164.84/85,747.26 = 23,866.78/x
  3. Step 3: Cross multiply
    57,164.84x = 85,747.26 × 23,866.78
  4. Step 4: Simplify right side
    57,164.84x = 2,046,510,650.52
  5. Step 5: Solve for x
    x = 2,046,510,650.52/57,164.84
  6. Step 6: Final answer
    x = 35,800.16

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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.