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Finding the Fourth Proportional to 69,114.10, 103,672.77 and 24,743.92

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Solution

The fourth proportional to 69,114.10, 103,672.77 and 24,743.92 is: 37,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,114.10 : 103,672.77 = 24,743.92 : x
  2. Step 2: Convert to fraction form
    69,114.10/103,672.77 = 24,743.92/x
  3. Step 3: Cross multiply
    69,114.10x = 103,672.77 × 24,743.92
  4. Step 4: Simplify right side
    69,114.10x = 2,565,270,727.06
  5. Step 5: Solve for x
    x = 2,565,270,727.06/69,114.10
  6. Step 6: Final answer
    x = 37,116.46

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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.