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Finding the Fourth Proportional to 57,254.46, 85,884.12 and 15,701.46

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Solution

The fourth proportional to 57,254.46, 85,884.12 and 15,701.46 is: 23,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,254.46 : 85,884.12 = 15,701.46 : x
  2. Step 2: Convert to fraction form
    57,254.46/85,884.12 = 15,701.46/x
  3. Step 3: Cross multiply
    57,254.46x = 85,884.12 × 15,701.46
  4. Step 4: Simplify right side
    57,254.46x = 1,348,506,074.82
  5. Step 5: Solve for x
    x = 1,348,506,074.82/57,254.46
  6. Step 6: Final answer
    x = 23,552.86

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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.