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Finding the Fourth Proportional to 32,523.94, 48,780.80 and 10,334.40

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Solution

The fourth proportional to 32,523.94, 48,780.80 and 10,334.40 is: 15,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523.94 : 48,780.80 = 10,334.40 : x
  2. Step 2: Convert to fraction form
    32,523.94/48,780.80 = 10,334.40/x
  3. Step 3: Cross multiply
    32,523.94x = 48,780.80 × 10,334.40
  4. Step 4: Simplify right side
    32,523.94x = 504,120,299.52
  5. Step 5: Solve for x
    x = 504,120,299.52/32,523.94
  6. Step 6: Final answer
    x = 15,499.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.