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Finding the Fourth Proportional to 38,524.46, 53,169.84 and 23,421.83

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Solution

The fourth proportional to 38,524.46, 53,169.84 and 23,421.83 is: 32,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,524.46 : 53,169.84 = 23,421.83 : x
  2. Step 2: Convert to fraction form
    38,524.46/53,169.84 = 23,421.83/x
  3. Step 3: Cross multiply
    38,524.46x = 53,169.84 × 23,421.83
  4. Step 4: Simplify right side
    38,524.46x = 1,245,334,687.76
  5. Step 5: Solve for x
    x = 1,245,334,687.76/38,524.46
  6. Step 6: Final answer
    x = 32,325.82

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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.