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Finding the Fourth Proportional to 75,882, 104,718.84 and 41,890.41

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Solution

The fourth proportional to 75,882, 104,718.84 and 41,890.41 is: 57,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,882 : 104,718.84 = 41,890.41 : x
  2. Step 2: Convert to fraction form
    75,882/104,718.84 = 41,890.41/x
  3. Step 3: Cross multiply
    75,882x = 104,718.84 × 41,890.41
  4. Step 4: Simplify right side
    75,882x = 4,386,715,142.32
  5. Step 5: Solve for x
    x = 4,386,715,142.32/75,882
  6. Step 6: Final answer
    x = 57,809.69

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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.