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Finding the Fourth Proportional to 74,578.42, 111,885.12 and 24,658.48

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Solution

The fourth proportional to 74,578.42, 111,885.12 and 24,658.48 is: 36,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,578.42 : 111,885.12 = 24,658.48 : x
  2. Step 2: Convert to fraction form
    74,578.42/111,885.12 = 24,658.48/x
  3. Step 3: Cross multiply
    74,578.42x = 111,885.12 × 24,658.48
  4. Step 4: Simplify right side
    74,578.42x = 2,758,916,993.82
  5. Step 5: Solve for x
    x = 2,758,916,993.82/74,578.42
  6. Step 6: Final answer
    x = 36,993.50

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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.