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Finding the Fourth Proportional to 38,363.40, 52,931.10 and 22,451.76

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Solution

The fourth proportional to 38,363.40, 52,931.10 and 22,451.76 is: 30,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,363.40 : 52,931.10 = 22,451.76 : x
  2. Step 2: Convert to fraction form
    38,363.40/52,931.10 = 22,451.76/x
  3. Step 3: Cross multiply
    38,363.40x = 52,931.10 × 22,451.76
  4. Step 4: Simplify right side
    38,363.40x = 1,188,396,353.74
  5. Step 5: Solve for x
    x = 1,188,396,353.74/38,363.40
  6. Step 6: Final answer
    x = 30,977.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.