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Finding the Fourth Proportional to 83,563, 115,302.78 and 55,253.56

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Solution

The fourth proportional to 83,563, 115,302.78 and 55,253.56 is: 76,240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,563 : 115,302.78 = 55,253.56 : x
  2. Step 2: Convert to fraction form
    83,563/115,302.78 = 55,253.56/x
  3. Step 3: Cross multiply
    83,563x = 115,302.78 × 55,253.56
  4. Step 4: Simplify right side
    83,563x = 6,370,889,072.90
  5. Step 5: Solve for x
    x = 6,370,889,072.90/83,563
  6. Step 6: Final answer
    x = 76,240.55

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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.