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Finding the Fourth Proportional to 113,862.54, 170,793.45 and 30,756.54

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Solution

The fourth proportional to 113,862.54, 170,793.45 and 30,756.54 is: 46,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,862.54 : 170,793.45 = 30,756.54 : x
  2. Step 2: Convert to fraction form
    113,862.54/170,793.45 = 30,756.54/x
  3. Step 3: Cross multiply
    113,862.54x = 170,793.45 × 30,756.54
  4. Step 4: Simplify right side
    113,862.54x = 5,253,015,576.66
  5. Step 5: Solve for x
    x = 5,253,015,576.66/113,862.54
  6. Step 6: Final answer
    x = 46,134.71

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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.