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Finding the Fourth Proportional to 83,980.74, 115,841.34 and 49,966.20

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Solution

The fourth proportional to 83,980.74, 115,841.34 and 49,966.20 is: 68,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980.74 : 115,841.34 = 49,966.20 : x
  2. Step 2: Convert to fraction form
    83,980.74/115,841.34 = 49,966.20/x
  3. Step 3: Cross multiply
    83,980.74x = 115,841.34 × 49,966.20
  4. Step 4: Simplify right side
    83,980.74x = 5,788,151,562.71
  5. Step 5: Solve for x
    x = 5,788,151,562.71/83,980.74
  6. Step 6: Final answer
    x = 68,922.37

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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.