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Finding the Fourth Proportional to 68,386.26, 102,627.57 and 24,016.47

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Solution

The fourth proportional to 68,386.26, 102,627.57 and 24,016.47 is: 36,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,386.26 : 102,627.57 = 24,016.47 : x
  2. Step 2: Convert to fraction form
    68,386.26/102,627.57 = 24,016.47/x
  3. Step 3: Cross multiply
    68,386.26x = 102,627.57 × 24,016.47
  4. Step 4: Simplify right side
    68,386.26x = 2,464,751,956.08
  5. Step 5: Solve for x
    x = 2,464,751,956.08/68,386.26
  6. Step 6: Final answer
    x = 36,041.63

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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.