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Finding the Fourth Proportional to 47,502.86, 71,309.47 and 27,795.54

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Solution

The fourth proportional to 47,502.86, 71,309.47 and 27,795.54 is: 41,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,502.86 : 71,309.47 = 27,795.54 : x
  2. Step 2: Convert to fraction form
    47,502.86/71,309.47 = 27,795.54/x
  3. Step 3: Cross multiply
    47,502.86x = 71,309.47 × 27,795.54
  4. Step 4: Simplify right side
    47,502.86x = 1,982,085,225.76
  5. Step 5: Solve for x
    x = 1,982,085,225.76/47,502.86
  6. Step 6: Final answer
    x = 41,725.60

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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.