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Finding the Fourth Proportional to 83,223.52, 114,816.15 and 53,003.43

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Solution

The fourth proportional to 83,223.52, 114,816.15 and 53,003.43 is: 73,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,223.52 : 114,816.15 = 53,003.43 : x
  2. Step 2: Convert to fraction form
    83,223.52/114,816.15 = 53,003.43/x
  3. Step 3: Cross multiply
    83,223.52x = 114,816.15 × 53,003.43
  4. Step 4: Simplify right side
    83,223.52x = 6,085,649,769.39
  5. Step 5: Solve for x
    x = 6,085,649,769.39/83,223.52
  6. Step 6: Final answer
    x = 73,124.16

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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.