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Finding the Fourth Proportional to 57,181.66, 85,806.21 and 23,899.16

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Solution

The fourth proportional to 57,181.66, 85,806.21 and 23,899.16 is: 35,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,181.66 : 85,806.21 = 23,899.16 : x
  2. Step 2: Convert to fraction form
    57,181.66/85,806.21 = 23,899.16/x
  3. Step 3: Cross multiply
    57,181.66x = 85,806.21 × 23,899.16
  4. Step 4: Simplify right side
    57,181.66x = 2,050,696,341.78
  5. Step 5: Solve for x
    x = 2,050,696,341.78/57,181.66
  6. Step 6: Final answer
    x = 35,862.83

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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.