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Finding the Fourth Proportional to 71,440.29, 107,146.77 and 35,891.74

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Solution

The fourth proportional to 71,440.29, 107,146.77 and 35,891.74 is: 53,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,440.29 : 107,146.77 = 35,891.74 : x
  2. Step 2: Convert to fraction form
    71,440.29/107,146.77 = 35,891.74/x
  3. Step 3: Cross multiply
    71,440.29x = 107,146.77 × 35,891.74
  4. Step 4: Simplify right side
    71,440.29x = 3,845,684,010.68
  5. Step 5: Solve for x
    x = 3,845,684,010.68/71,440.29
  6. Step 6: Final answer
    x = 53,830.74

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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.