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Finding the Fourth Proportional to 83,476.56, 115,198.56 and 45,750

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Solution

The fourth proportional to 83,476.56, 115,198.56 and 45,750 is: 63,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,476.56 : 115,198.56 = 45,750 : x
  2. Step 2: Convert to fraction form
    83,476.56/115,198.56 = 45,750/x
  3. Step 3: Cross multiply
    83,476.56x = 115,198.56 × 45,750
  4. Step 4: Simplify right side
    83,476.56x = 5,270,334,120
  5. Step 5: Solve for x
    x = 5,270,334,120/83,476.56
  6. Step 6: Final answer
    x = 63,135.50

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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.