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Finding the Fourth Proportional to 40,696, 61,321.31 and 33,462.50

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Solution

The fourth proportional to 40,696, 61,321.31 and 33,462.50 is: 50,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,696 : 61,321.31 = 33,462.50 : x
  2. Step 2: Convert to fraction form
    40,696/61,321.31 = 33,462.50/x
  3. Step 3: Cross multiply
    40,696x = 61,321.31 × 33,462.50
  4. Step 4: Simplify right side
    40,696x = 2,051,964,168.56
  5. Step 5: Solve for x
    x = 2,051,964,168.56/40,696
  6. Step 6: Final answer
    x = 50,421.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.