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Finding the Fourth Proportional to 51,707.54, 77,578.03 and 25,393.83

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Solution

The fourth proportional to 51,707.54, 77,578.03 and 25,393.83 is: 38,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,707.54 : 77,578.03 = 25,393.83 : x
  2. Step 2: Convert to fraction form
    51,707.54/77,578.03 = 25,393.83/x
  3. Step 3: Cross multiply
    51,707.54x = 77,578.03 × 25,393.83
  4. Step 4: Simplify right side
    51,707.54x = 1,970,003,305.55
  5. Step 5: Solve for x
    x = 1,970,003,305.55/51,707.54
  6. Step 6: Final answer
    x = 38,098.96

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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.