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Finding the Fourth Proportional to 40,145.84, 55,423.08 and 24,234

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Solution

The fourth proportional to 40,145.84, 55,423.08 and 24,234 is: 33,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,145.84 : 55,423.08 = 24,234 : x
  2. Step 2: Convert to fraction form
    40,145.84/55,423.08 = 24,234/x
  3. Step 3: Cross multiply
    40,145.84x = 55,423.08 × 24,234
  4. Step 4: Simplify right side
    40,145.84x = 1,343,122,920.72
  5. Step 5: Solve for x
    x = 1,343,122,920.72/40,145.84
  6. Step 6: Final answer
    x = 33,456.09

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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.