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Finding the Fourth Proportional to 83,112.12, 124,469.51 and 47,945.16

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Solution

The fourth proportional to 83,112.12, 124,469.51 and 47,945.16 is: 71,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,112.12 : 124,469.51 = 47,945.16 : x
  2. Step 2: Convert to fraction form
    83,112.12/124,469.51 = 47,945.16/x
  3. Step 3: Cross multiply
    83,112.12x = 124,469.51 × 47,945.16
  4. Step 4: Simplify right side
    83,112.12x = 5,967,710,332.35
  5. Step 5: Solve for x
    x = 5,967,710,332.35/83,112.12
  6. Step 6: Final answer
    x = 71,803.13

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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.