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Finding the Fourth Proportional to 70,026.15, 96,644.26 and 39,816

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Solution

The fourth proportional to 70,026.15, 96,644.26 and 39,816 is: 54,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,026.15 : 96,644.26 = 39,816 : x
  2. Step 2: Convert to fraction form
    70,026.15/96,644.26 = 39,816/x
  3. Step 3: Cross multiply
    70,026.15x = 96,644.26 × 39,816
  4. Step 4: Simplify right side
    70,026.15x = 3,847,987,856.16
  5. Step 5: Solve for x
    x = 3,847,987,856.16/70,026.15
  6. Step 6: Final answer
    x = 54,950.73

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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.