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Finding the Fourth Proportional to 74,076.52, 111,091.72 and 24,817

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Solution

The fourth proportional to 74,076.52, 111,091.72 and 24,817 is: 37,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,076.52 : 111,091.72 = 24,817 : x
  2. Step 2: Convert to fraction form
    74,076.52/111,091.72 = 24,817/x
  3. Step 3: Cross multiply
    74,076.52x = 111,091.72 × 24,817
  4. Step 4: Simplify right side
    74,076.52x = 2,756,963,215.24
  5. Step 5: Solve for x
    x = 2,756,963,215.24/74,076.52
  6. Step 6: Final answer
    x = 37,217.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.