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Finding the Fourth Proportional to 70,218.90, 96,847.65 and 41,894.82

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Solution

The fourth proportional to 70,218.90, 96,847.65 and 41,894.82 is: 57,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,218.90 : 96,847.65 = 41,894.82 : x
  2. Step 2: Convert to fraction form
    70,218.90/96,847.65 = 41,894.82/x
  3. Step 3: Cross multiply
    70,218.90x = 96,847.65 × 41,894.82
  4. Step 4: Simplify right side
    70,218.90x = 4,057,414,864.17
  5. Step 5: Solve for x
    x = 4,057,414,864.17/70,218.90
  6. Step 6: Final answer
    x = 57,782.38

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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.