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Finding the Fourth Proportional to 69,846.71, 96,388.38 and 38,015.53

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Solution

The fourth proportional to 69,846.71, 96,388.38 and 38,015.53 is: 52,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,846.71 : 96,388.38 = 38,015.53 : x
  2. Step 2: Convert to fraction form
    69,846.71/96,388.38 = 38,015.53/x
  3. Step 3: Cross multiply
    69,846.71x = 96,388.38 × 38,015.53
  4. Step 4: Simplify right side
    69,846.71x = 3,664,255,110.57
  5. Step 5: Solve for x
    x = 3,664,255,110.57/69,846.71
  6. Step 6: Final answer
    x = 52,461.39

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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.