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Finding the Fourth Proportional to 71,305.46, 106,947.95 and 22,051.06

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Solution

The fourth proportional to 71,305.46, 106,947.95 and 22,051.06 is: 33,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,305.46 : 106,947.95 = 22,051.06 : x
  2. Step 2: Convert to fraction form
    71,305.46/106,947.95 = 22,051.06/x
  3. Step 3: Cross multiply
    71,305.46x = 106,947.95 × 22,051.06
  4. Step 4: Simplify right side
    71,305.46x = 2,358,315,662.33
  5. Step 5: Solve for x
    x = 2,358,315,662.33/71,305.46
  6. Step 6: Final answer
    x = 33,073.42

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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.