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Finding the Fourth Proportional to 69,116.24, 103,696.26 and 24,742

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Solution

The fourth proportional to 69,116.24, 103,696.26 and 24,742 is: 37,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,116.24 : 103,696.26 = 24,742 : x
  2. Step 2: Convert to fraction form
    69,116.24/103,696.26 = 24,742/x
  3. Step 3: Cross multiply
    69,116.24x = 103,696.26 × 24,742
  4. Step 4: Simplify right side
    69,116.24x = 2,565,652,864.92
  5. Step 5: Solve for x
    x = 2,565,652,864.92/69,116.24
  6. Step 6: Final answer
    x = 37,120.84

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