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Finding the Fourth Proportional to 57,129.41, 85,693.20 and 15,576.41

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Solution

The fourth proportional to 57,129.41, 85,693.20 and 15,576.41 is: 23,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,129.41 : 85,693.20 = 15,576.41 : x
  2. Step 2: Convert to fraction form
    57,129.41/85,693.20 = 15,576.41/x
  3. Step 3: Cross multiply
    57,129.41x = 85,693.20 × 15,576.41
  4. Step 4: Simplify right side
    57,129.41x = 1,334,791,988.95
  5. Step 5: Solve for x
    x = 1,334,791,988.95/57,129.41
  6. Step 6: Final answer
    x = 23,364.36

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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.