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Finding the Fourth Proportional to 68,712.98, 103,081.68 and 35,424.14

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Solution

The fourth proportional to 68,712.98, 103,081.68 and 35,424.14 is: 53,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,712.98 : 103,081.68 = 35,424.14 : x
  2. Step 2: Convert to fraction form
    68,712.98/103,081.68 = 35,424.14/x
  3. Step 3: Cross multiply
    68,712.98x = 103,081.68 × 35,424.14
  4. Step 4: Simplify right side
    68,712.98x = 3,651,579,348.35
  5. Step 5: Solve for x
    x = 3,651,579,348.35/68,712.98
  6. Step 6: Final answer
    x = 53,142.50

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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.