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Finding the Fourth Proportional to 28,103.64, 42,079.92 and 21,408.24

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Solution

The fourth proportional to 28,103.64, 42,079.92 and 21,408.24 is: 32,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,103.64 : 42,079.92 = 21,408.24 : x
  2. Step 2: Convert to fraction form
    28,103.64/42,079.92 = 21,408.24/x
  3. Step 3: Cross multiply
    28,103.64x = 42,079.92 × 21,408.24
  4. Step 4: Simplify right side
    28,103.64x = 900,856,919.50
  5. Step 5: Solve for x
    x = 900,856,919.50/28,103.64
  6. Step 6: Final answer
    x = 32,054.82

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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.