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Finding the Fourth Proportional to 81,987.50, 113,123.31 and 46,170.38

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Solution

The fourth proportional to 81,987.50, 113,123.31 and 46,170.38 is: 63,704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,987.50 : 113,123.31 = 46,170.38 : x
  2. Step 2: Convert to fraction form
    81,987.50/113,123.31 = 46,170.38/x
  3. Step 3: Cross multiply
    81,987.50x = 113,123.31 × 46,170.38
  4. Step 4: Simplify right side
    81,987.50x = 5,222,946,209.56
  5. Step 5: Solve for x
    x = 5,222,946,209.56/81,987.50
  6. Step 6: Final answer
    x = 63,704.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.