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Finding the Fourth Proportional to 81,314.80, 121,972.20 and 41,858.80

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Solution

The fourth proportional to 81,314.80, 121,972.20 and 41,858.80 is: 62,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,314.80 : 121,972.20 = 41,858.80 : x
  2. Step 2: Convert to fraction form
    81,314.80/121,972.20 = 41,858.80/x
  3. Step 3: Cross multiply
    81,314.80x = 121,972.20 × 41,858.80
  4. Step 4: Simplify right side
    81,314.80x = 5,105,609,925.36
  5. Step 5: Solve for x
    x = 5,105,609,925.36/81,314.80
  6. Step 6: Final answer
    x = 62,788.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.