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Finding the Fourth Proportional to 57,146.31, 85,733.14 and 23,847.84

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Solution

The fourth proportional to 57,146.31, 85,733.14 and 23,847.84 is: 35,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,146.31 : 85,733.14 = 23,847.84 : x
  2. Step 2: Convert to fraction form
    57,146.31/85,733.14 = 23,847.84/x
  3. Step 3: Cross multiply
    57,146.31x = 85,733.14 × 23,847.84
  4. Step 4: Simplify right side
    57,146.31x = 2,044,550,205.42
  5. Step 5: Solve for x
    x = 2,044,550,205.42/57,146.31
  6. Step 6: Final answer
    x = 35,777.47

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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.