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Finding the Fourth Proportional to 40,493.54, 55,881.15 and 22,343.84

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Solution

The fourth proportional to 40,493.54, 55,881.15 and 22,343.84 is: 30,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,493.54 : 55,881.15 = 22,343.84 : x
  2. Step 2: Convert to fraction form
    40,493.54/55,881.15 = 22,343.84/x
  3. Step 3: Cross multiply
    40,493.54x = 55,881.15 × 22,343.84
  4. Step 4: Simplify right side
    40,493.54x = 1,248,599,474.62
  5. Step 5: Solve for x
    x = 1,248,599,474.62/40,493.54
  6. Step 6: Final answer
    x = 30,834.53

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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.