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Finding the Fourth Proportional to 70,682.61, 106,023.96 and 33,215.19

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Solution

The fourth proportional to 70,682.61, 106,023.96 and 33,215.19 is: 49,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,682.61 : 106,023.96 = 33,215.19 : x
  2. Step 2: Convert to fraction form
    70,682.61/106,023.96 = 33,215.19/x
  3. Step 3: Cross multiply
    70,682.61x = 106,023.96 × 33,215.19
  4. Step 4: Simplify right side
    70,682.61x = 3,521,605,975.95
  5. Step 5: Solve for x
    x = 3,521,605,975.95/70,682.61
  6. Step 6: Final answer
    x = 49,822.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.