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Finding the Fourth Proportional to 83,974.40, 115,908.42 and 55,314.98

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Solution

The fourth proportional to 83,974.40, 115,908.42 and 55,314.98 is: 76,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,974.40 : 115,908.42 = 55,314.98 : x
  2. Step 2: Convert to fraction form
    83,974.40/115,908.42 = 55,314.98/x
  3. Step 3: Cross multiply
    83,974.40x = 115,908.42 × 55,314.98
  4. Step 4: Simplify right side
    83,974.40x = 6,411,471,934.13
  5. Step 5: Solve for x
    x = 6,411,471,934.13/83,974.40
  6. Step 6: Final answer
    x = 76,350.32

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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.