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Finding the Fourth Proportional to 75,882.34, 104,717.78 and 41,890.87

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Solution

The fourth proportional to 75,882.34, 104,717.78 and 41,890.87 is: 57,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,882.34 : 104,717.78 = 41,890.87 : x
  2. Step 2: Convert to fraction form
    75,882.34/104,717.78 = 41,890.87/x
  3. Step 3: Cross multiply
    75,882.34x = 104,717.78 × 41,890.87
  4. Step 4: Simplify right side
    75,882.34x = 4,386,718,908.67
  5. Step 5: Solve for x
    x = 4,386,718,908.67/75,882.34
  6. Step 6: Final answer
    x = 57,809.48

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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.