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Finding the Fourth Proportional to 99,810.50, 137,738.49 and 55,098.82

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Solution

The fourth proportional to 99,810.50, 137,738.49 and 55,098.82 is: 76,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810.50 : 137,738.49 = 55,098.82 : x
  2. Step 2: Convert to fraction form
    99,810.50/137,738.49 = 55,098.82/x
  3. Step 3: Cross multiply
    99,810.50x = 137,738.49 × 55,098.82
  4. Step 4: Simplify right side
    99,810.50x = 7,589,228,267.58
  5. Step 5: Solve for x
    x = 7,589,228,267.58/99,810.50
  6. Step 6: Final answer
    x = 76,036.37

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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.