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Finding the Fourth Proportional to 74,102.76, 111,163.90 and 24,165.40

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Solution

The fourth proportional to 74,102.76, 111,163.90 and 24,165.40 is: 36,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,102.76 : 111,163.90 = 24,165.40 : x
  2. Step 2: Convert to fraction form
    74,102.76/111,163.90 = 24,165.40/x
  3. Step 3: Cross multiply
    74,102.76x = 111,163.90 × 24,165.40
  4. Step 4: Simplify right side
    74,102.76x = 2,686,320,109.06
  5. Step 5: Solve for x
    x = 2,686,320,109.06/74,102.76
  6. Step 6: Final answer
    x = 36,251.28

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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.