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Finding the Fourth Proportional to 47,363.19, 71,046 and 22,414.92

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Solution

The fourth proportional to 47,363.19, 71,046 and 22,414.92 is: 33,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,363.19 : 71,046 = 22,414.92 : x
  2. Step 2: Convert to fraction form
    47,363.19/71,046 = 22,414.92/x
  3. Step 3: Cross multiply
    47,363.19x = 71,046 × 22,414.92
  4. Step 4: Simplify right side
    47,363.19x = 1,592,490,406.32
  5. Step 5: Solve for x
    x = 1,592,490,406.32/47,363.19
  6. Step 6: Final answer
    x = 33,622.96

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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.