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Finding the Fourth Proportional to 69,847.07, 96,390.68 and 38,017.71

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Solution

The fourth proportional to 69,847.07, 96,390.68 and 38,017.71 is: 52,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,847.07 : 96,390.68 = 38,017.71 : x
  2. Step 2: Convert to fraction form
    69,847.07/96,390.68 = 38,017.71/x
  3. Step 3: Cross multiply
    69,847.07x = 96,390.68 × 38,017.71
  4. Step 4: Simplify right side
    69,847.07x = 3,664,552,728.85
  5. Step 5: Solve for x
    x = 3,664,552,728.85/69,847.07
  6. Step 6: Final answer
    x = 52,465.38

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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.