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Finding the Fourth Proportional to 99,583.68, 137,424.25 and 54,260.50

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Solution

The fourth proportional to 99,583.68, 137,424.25 and 54,260.50 is: 74,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,583.68 : 137,424.25 = 54,260.50 : x
  2. Step 2: Convert to fraction form
    99,583.68/137,424.25 = 54,260.50/x
  3. Step 3: Cross multiply
    99,583.68x = 137,424.25 × 54,260.50
  4. Step 4: Simplify right side
    99,583.68x = 7,456,707,614.09
  5. Step 5: Solve for x
    x = 7,456,707,614.09/99,583.68
  6. Step 6: Final answer
    x = 74,878.81

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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.