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Finding the Fourth Proportional to 83,605.22, 115,471.03 and 55,052.52

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Solution

The fourth proportional to 83,605.22, 115,471.03 and 55,052.52 is: 76,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,605.22 : 115,471.03 = 55,052.52 : x
  2. Step 2: Convert to fraction form
    83,605.22/115,471.03 = 55,052.52/x
  3. Step 3: Cross multiply
    83,605.22x = 115,471.03 × 55,052.52
  4. Step 4: Simplify right side
    83,605.22x = 6,356,971,326.13
  5. Step 5: Solve for x
    x = 6,356,971,326.13/83,605.22
  6. Step 6: Final answer
    x = 76,035.58

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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.