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Finding the Fourth Proportional to 51,951.48, 71,645.96 and 34,039.92

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Solution

The fourth proportional to 51,951.48, 71,645.96 and 34,039.92 is: 46,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.48 : 71,645.96 = 34,039.92 : x
  2. Step 2: Convert to fraction form
    51,951.48/71,645.96 = 34,039.92/x
  3. Step 3: Cross multiply
    51,951.48x = 71,645.96 × 34,039.92
  4. Step 4: Simplify right side
    51,951.48x = 2,438,822,746.72
  5. Step 5: Solve for x
    x = 2,438,822,746.72/51,951.48
  6. Step 6: Final answer
    x = 46,944.24

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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.