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Finding the Fourth Proportional to 48,031, 71,950.02 and 23,942.80

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Solution

The fourth proportional to 48,031, 71,950.02 and 23,942.80 is: 35,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,031 : 71,950.02 = 23,942.80 : x
  2. Step 2: Convert to fraction form
    48,031/71,950.02 = 23,942.80/x
  3. Step 3: Cross multiply
    48,031x = 71,950.02 × 23,942.80
  4. Step 4: Simplify right side
    48,031x = 1,722,684,938.86
  5. Step 5: Solve for x
    x = 1,722,684,938.86/48,031
  6. Step 6: Final answer
    x = 35,866.11

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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.