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Finding the Fourth Proportional to 37,609.91, 51,894.87 and 24,178.08

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Solution

The fourth proportional to 37,609.91, 51,894.87 and 24,178.08 is: 33,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,609.91 : 51,894.87 = 24,178.08 : x
  2. Step 2: Convert to fraction form
    37,609.91/51,894.87 = 24,178.08/x
  3. Step 3: Cross multiply
    37,609.91x = 51,894.87 × 24,178.08
  4. Step 4: Simplify right side
    37,609.91x = 1,254,718,318.45
  5. Step 5: Solve for x
    x = 1,254,718,318.45/37,609.91
  6. Step 6: Final answer
    x = 33,361.38

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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.