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Finding the Fourth Proportional to 71,970.62, 107,963.13 and 22,050.14

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Solution

The fourth proportional to 71,970.62, 107,963.13 and 22,050.14 is: 33,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,970.62 : 107,963.13 = 22,050.14 : x
  2. Step 2: Convert to fraction form
    71,970.62/107,963.13 = 22,050.14/x
  3. Step 3: Cross multiply
    71,970.62x = 107,963.13 × 22,050.14
  4. Step 4: Simplify right side
    71,970.62x = 2,380,602,131.34
  5. Step 5: Solve for x
    x = 2,380,602,131.34/71,970.62
  6. Step 6: Final answer
    x = 33,077.42

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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.