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Finding the Fourth Proportional to 75,837.39, 104,660.49 and 43,582.38

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Solution

The fourth proportional to 75,837.39, 104,660.49 and 43,582.38 is: 60,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,837.39 : 104,660.49 = 43,582.38 : x
  2. Step 2: Convert to fraction form
    75,837.39/104,660.49 = 43,582.38/x
  3. Step 3: Cross multiply
    75,837.39x = 104,660.49 × 43,582.38
  4. Step 4: Simplify right side
    75,837.39x = 4,561,353,246.17
  5. Step 5: Solve for x
    x = 4,561,353,246.17/75,837.39
  6. Step 6: Final answer
    x = 60,146.50

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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.