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Finding the Fourth Proportional to 52,170.54, 78,269.46 and 22,581.46

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Solution

The fourth proportional to 52,170.54, 78,269.46 and 22,581.46 is: 33,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,170.54 : 78,269.46 = 22,581.46 : x
  2. Step 2: Convert to fraction form
    52,170.54/78,269.46 = 22,581.46/x
  3. Step 3: Cross multiply
    52,170.54x = 78,269.46 × 22,581.46
  4. Step 4: Simplify right side
    52,170.54x = 1,767,438,680.21
  5. Step 5: Solve for x
    x = 1,767,438,680.21/52,170.54
  6. Step 6: Final answer
    x = 33,878.10

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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.