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Finding the Fourth Proportional to 71,298, 106,952.76 and 22,050

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Solution

The fourth proportional to 71,298, 106,952.76 and 22,050 is: 33,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,298 : 106,952.76 = 22,050 : x
  2. Step 2: Convert to fraction form
    71,298/106,952.76 = 22,050/x
  3. Step 3: Cross multiply
    71,298x = 106,952.76 × 22,050
  4. Step 4: Simplify right side
    71,298x = 2,358,308,358
  5. Step 5: Solve for x
    x = 2,358,308,358/71,298
  6. Step 6: Final answer
    x = 33,076.78

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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.