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Finding the Fourth Proportional to 83,148.04, 114,742.54 and 47,337.54

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Solution

The fourth proportional to 83,148.04, 114,742.54 and 47,337.54 is: 65,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,148.04 : 114,742.54 = 47,337.54 : x
  2. Step 2: Convert to fraction form
    83,148.04/114,742.54 = 47,337.54/x
  3. Step 3: Cross multiply
    83,148.04x = 114,742.54 × 47,337.54
  4. Step 4: Simplify right side
    83,148.04x = 5,431,629,576.95
  5. Step 5: Solve for x
    x = 5,431,629,576.95/83,148.04
  6. Step 6: Final answer
    x = 65,324.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.