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Finding the Fourth Proportional to 83,589.42, 115,355.40 and 45,863.67

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Solution

The fourth proportional to 83,589.42, 115,355.40 and 45,863.67 is: 63,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,589.42 : 115,355.40 = 45,863.67 : x
  2. Step 2: Convert to fraction form
    83,589.42/115,355.40 = 45,863.67/x
  3. Step 3: Cross multiply
    83,589.42x = 115,355.40 × 45,863.67
  4. Step 4: Simplify right side
    83,589.42x = 5,290,621,998.32
  5. Step 5: Solve for x
    x = 5,290,621,998.32/83,589.42
  6. Step 6: Final answer
    x = 63,292.96

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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.