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Finding the Fourth Proportional to 45,382, 68,073.06 and 22,011.88

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Solution

The fourth proportional to 45,382, 68,073.06 and 22,011.88 is: 33,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,382 : 68,073.06 = 22,011.88 : x
  2. Step 2: Convert to fraction form
    45,382/68,073.06 = 22,011.88/x
  3. Step 3: Cross multiply
    45,382x = 68,073.06 × 22,011.88
  4. Step 4: Simplify right side
    45,382x = 1,498,416,027.95
  5. Step 5: Solve for x
    x = 1,498,416,027.95/45,382
  6. Step 6: Final answer
    x = 33,017.85

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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.