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Finding the Fourth Proportional to 83,888.50, 115,766.16 and 46,165.18

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Solution

The fourth proportional to 83,888.50, 115,766.16 and 46,165.18 is: 63,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,888.50 : 115,766.16 = 46,165.18 : x
  2. Step 2: Convert to fraction form
    83,888.50/115,766.16 = 46,165.18/x
  3. Step 3: Cross multiply
    83,888.50x = 115,766.16 × 46,165.18
  4. Step 4: Simplify right side
    83,888.50x = 5,344,365,614.31
  5. Step 5: Solve for x
    x = 5,344,365,614.31/83,888.50
  6. Step 6: Final answer
    x = 63,707.96

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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.