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Finding the Fourth Proportional to 37,103.48, 51,205.32 and 20,965.20

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Solution

The fourth proportional to 37,103.48, 51,205.32 and 20,965.20 is: 28,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,103.48 : 51,205.32 = 20,965.20 : x
  2. Step 2: Convert to fraction form
    37,103.48/51,205.32 = 20,965.20/x
  3. Step 3: Cross multiply
    37,103.48x = 51,205.32 × 20,965.20
  4. Step 4: Simplify right side
    37,103.48x = 1,073,529,774.86
  5. Step 5: Solve for x
    x = 1,073,529,774.86/37,103.48
  6. Step 6: Final answer
    x = 28,933.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.