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Finding the Fourth Proportional to 74,018.08, 111,028.50 and 24,098

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Solution

The fourth proportional to 74,018.08, 111,028.50 and 24,098 is: 36,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,018.08 : 111,028.50 = 24,098 : x
  2. Step 2: Convert to fraction form
    74,018.08/111,028.50 = 24,098/x
  3. Step 3: Cross multiply
    74,018.08x = 111,028.50 × 24,098
  4. Step 4: Simplify right side
    74,018.08x = 2,675,564,793
  5. Step 5: Solve for x
    x = 2,675,564,793/74,018.08
  6. Step 6: Final answer
    x = 36,147.45

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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.