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Finding the Fourth Proportional to 71,529, 107,293.50 and 22,281

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Solution

The fourth proportional to 71,529, 107,293.50 and 22,281 is: 33,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,529 : 107,293.50 = 22,281 : x
  2. Step 2: Convert to fraction form
    71,529/107,293.50 = 22,281/x
  3. Step 3: Cross multiply
    71,529x = 107,293.50 × 22,281
  4. Step 4: Simplify right side
    71,529x = 2,390,606,473.50
  5. Step 5: Solve for x
    x = 2,390,606,473.50/71,529
  6. Step 6: Final answer
    x = 33,421.50

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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.