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Finding the Fourth Proportional to 71,084.77, 106,619.84 and 23,694.74

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Solution

The fourth proportional to 71,084.77, 106,619.84 and 23,694.74 is: 35,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084.77 : 106,619.84 = 23,694.74 : x
  2. Step 2: Convert to fraction form
    71,084.77/106,619.84 = 23,694.74/x
  3. Step 3: Cross multiply
    71,084.77x = 106,619.84 × 23,694.74
  4. Step 4: Simplify right side
    71,084.77x = 2,526,329,535.72
  5. Step 5: Solve for x
    x = 2,526,329,535.72/71,084.77
  6. Step 6: Final answer
    x = 35,539.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.