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Finding the Fourth Proportional to 70,471.60, 105,648.12 and 33,011.92

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Solution

The fourth proportional to 70,471.60, 105,648.12 and 33,011.92 is: 49,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,471.60 : 105,648.12 = 33,011.92 : x
  2. Step 2: Convert to fraction form
    70,471.60/105,648.12 = 33,011.92/x
  3. Step 3: Cross multiply
    70,471.60x = 105,648.12 × 33,011.92
  4. Step 4: Simplify right side
    70,471.60x = 3,487,647,285.59
  5. Step 5: Solve for x
    x = 3,487,647,285.59/70,471.60
  6. Step 6: Final answer
    x = 49,490.11

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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.