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Finding the Fourth Proportional to 45,696, 68,512.77 and 24,351.93

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Solution

The fourth proportional to 45,696, 68,512.77 and 24,351.93 is: 36,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,696 : 68,512.77 = 24,351.93 : x
  2. Step 2: Convert to fraction form
    45,696/68,512.77 = 24,351.93/x
  3. Step 3: Cross multiply
    45,696x = 68,512.77 × 24,351.93
  4. Step 4: Simplify right side
    45,696x = 1,668,418,179.15
  5. Step 5: Solve for x
    x = 1,668,418,179.15/45,696
  6. Step 6: Final answer
    x = 36,511.25

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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.