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Finding the Fourth Proportional to 83,723.52, 115,482.26 and 51,908.14

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Solution

The fourth proportional to 83,723.52, 115,482.26 and 51,908.14 is: 71,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,723.52 : 115,482.26 = 51,908.14 : x
  2. Step 2: Convert to fraction form
    83,723.52/115,482.26 = 51,908.14/x
  3. Step 3: Cross multiply
    83,723.52x = 115,482.26 × 51,908.14
  4. Step 4: Simplify right side
    83,723.52x = 5,994,469,301.74
  5. Step 5: Solve for x
    x = 5,994,469,301.74/83,723.52
  6. Step 6: Final answer
    x = 71,598.39

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