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Finding the Fourth Proportional to 83,170.50, 114,775.16 and 47,360.52

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Solution

The fourth proportional to 83,170.50, 114,775.16 and 47,360.52 is: 65,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,170.50 : 114,775.16 = 47,360.52 : x
  2. Step 2: Convert to fraction form
    83,170.50/114,775.16 = 47,360.52/x
  3. Step 3: Cross multiply
    83,170.50x = 114,775.16 × 47,360.52
  4. Step 4: Simplify right side
    83,170.50x = 5,435,811,023.88
  5. Step 5: Solve for x
    x = 5,435,811,023.88/83,170.50
  6. Step 6: Final answer
    x = 65,357.44

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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.