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Finding the Fourth Proportional to 47,350.09, 71,011 and 39,009.43

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Solution

The fourth proportional to 47,350.09, 71,011 and 39,009.43 is: 58,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,350.09 : 71,011 = 39,009.43 : x
  2. Step 2: Convert to fraction form
    47,350.09/71,011 = 39,009.43/x
  3. Step 3: Cross multiply
    47,350.09x = 71,011 × 39,009.43
  4. Step 4: Simplify right side
    47,350.09x = 2,770,098,633.73
  5. Step 5: Solve for x
    x = 2,770,098,633.73/47,350.09
  6. Step 6: Final answer
    x = 58,502.50

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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.