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Finding the Fourth Proportional to 83,811.48, 115,660.68 and 46,086

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Solution

The fourth proportional to 83,811.48, 115,660.68 and 46,086 is: 63,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,811.48 : 115,660.68 = 46,086 : x
  2. Step 2: Convert to fraction form
    83,811.48/115,660.68 = 46,086/x
  3. Step 3: Cross multiply
    83,811.48x = 115,660.68 × 46,086
  4. Step 4: Simplify right side
    83,811.48x = 5,330,338,098.48
  5. Step 5: Solve for x
    x = 5,330,338,098.48/83,811.48
  6. Step 6: Final answer
    x = 63,599.14

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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.