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Finding the Fourth Proportional to 69,869.74, 96,422.26 and 38,039.18

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Solution

The fourth proportional to 69,869.74, 96,422.26 and 38,039.18 is: 52,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,869.74 : 96,422.26 = 38,039.18 : x
  2. Step 2: Convert to fraction form
    69,869.74/96,422.26 = 38,039.18/x
  3. Step 3: Cross multiply
    69,869.74x = 96,422.26 × 38,039.18
  4. Step 4: Simplify right side
    69,869.74x = 3,667,823,704.15
  5. Step 5: Solve for x
    x = 3,667,823,704.15/69,869.74
  6. Step 6: Final answer
    x = 52,495.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.