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Finding the Fourth Proportional to 72,182, 108,264.84 and 22,257.92

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Solution

The fourth proportional to 72,182, 108,264.84 and 22,257.92 is: 33,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,182 : 108,264.84 = 22,257.92 : x
  2. Step 2: Convert to fraction form
    72,182/108,264.84 = 22,257.92/x
  3. Step 3: Cross multiply
    72,182x = 108,264.84 × 22,257.92
  4. Step 4: Simplify right side
    72,182x = 2,409,750,147.53
  5. Step 5: Solve for x
    x = 2,409,750,147.53/72,182
  6. Step 6: Final answer
    x = 33,384.36

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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.