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Finding the Fourth Proportional to 105,343.77, 145,338.78 and 59,989.61

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Solution

The fourth proportional to 105,343.77, 145,338.78 and 59,989.61 is: 82,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,343.77 : 145,338.78 = 59,989.61 : x
  2. Step 2: Convert to fraction form
    105,343.77/145,338.78 = 59,989.61/x
  3. Step 3: Cross multiply
    105,343.77x = 145,338.78 × 59,989.61
  4. Step 4: Simplify right side
    105,343.77x = 8,718,816,003.38
  5. Step 5: Solve for x
    x = 8,718,816,003.38/105,343.77
  6. Step 6: Final answer
    x = 82,765.37

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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.