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Finding the Fourth Proportional to 31,379, 47,074.30 and 10,320.20

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Solution

The fourth proportional to 31,379, 47,074.30 and 10,320.20 is: 15,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,379 : 47,074.30 = 10,320.20 : x
  2. Step 2: Convert to fraction form
    31,379/47,074.30 = 10,320.20/x
  3. Step 3: Cross multiply
    31,379x = 47,074.30 × 10,320.20
  4. Step 4: Simplify right side
    31,379x = 485,816,190.86
  5. Step 5: Solve for x
    x = 485,816,190.86/31,379
  6. Step 6: Final answer
    x = 15,482.21

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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.