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Finding the Fourth Proportional to 31,862.10, 47,797.74 and 10,803.99

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Solution

The fourth proportional to 31,862.10, 47,797.74 and 10,803.99 is: 16,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.10 : 47,797.74 = 10,803.99 : x
  2. Step 2: Convert to fraction form
    31,862.10/47,797.74 = 10,803.99/x
  3. Step 3: Cross multiply
    31,862.10x = 47,797.74 × 10,803.99
  4. Step 4: Simplify right side
    31,862.10x = 516,406,304.98
  5. Step 5: Solve for x
    x = 516,406,304.98/31,862.10
  6. Step 6: Final answer
    x = 16,207.54

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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.