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Finding the Fourth Proportional to 83,585.79, 115,346.38 and 46,288.97

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Solution

The fourth proportional to 83,585.79, 115,346.38 and 46,288.97 is: 63,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,585.79 : 115,346.38 = 46,288.97 : x
  2. Step 2: Convert to fraction form
    83,585.79/115,346.38 = 46,288.97/x
  3. Step 3: Cross multiply
    83,585.79x = 115,346.38 × 46,288.97
  4. Step 4: Simplify right side
    83,585.79x = 5,339,265,123.43
  5. Step 5: Solve for x
    x = 5,339,265,123.43/83,585.79
  6. Step 6: Final answer
    x = 63,877.67

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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.