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Finding the Fourth Proportional to 53,524.85, 73,872.16 and 30,859.40

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Solution

The fourth proportional to 53,524.85, 73,872.16 and 30,859.40 is: 42,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,524.85 : 73,872.16 = 30,859.40 : x
  2. Step 2: Convert to fraction form
    53,524.85/73,872.16 = 30,859.40/x
  3. Step 3: Cross multiply
    53,524.85x = 73,872.16 × 30,859.40
  4. Step 4: Simplify right side
    53,524.85x = 2,279,650,380.01
  5. Step 5: Solve for x
    x = 2,279,650,380.01/53,524.85
  6. Step 6: Final answer
    x = 42,590.51

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