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Finding the Fourth Proportional to 40,410.84, 55,747.67 and 31,396.65

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Solution

The fourth proportional to 40,410.84, 55,747.67 and 31,396.65 is: 43,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,410.84 : 55,747.67 = 31,396.65 : x
  2. Step 2: Convert to fraction form
    40,410.84/55,747.67 = 31,396.65/x
  3. Step 3: Cross multiply
    40,410.84x = 55,747.67 × 31,396.65
  4. Step 4: Simplify right side
    40,410.84x = 1,750,289,926.32
  5. Step 5: Solve for x
    x = 1,750,289,926.32/40,410.84
  6. Step 6: Final answer
    x = 43,312.39

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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.