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Finding the Fourth Proportional to 31,511.99, 47,251.90 and 10,444.53

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Solution

The fourth proportional to 31,511.99, 47,251.90 and 10,444.53 is: 15,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.99 : 47,251.90 = 10,444.53 : x
  2. Step 2: Convert to fraction form
    31,511.99/47,251.90 = 10,444.53/x
  3. Step 3: Cross multiply
    31,511.99x = 47,251.90 × 10,444.53
  4. Step 4: Simplify right side
    31,511.99x = 493,523,887.11
  5. Step 5: Solve for x
    x = 493,523,887.11/31,511.99
  6. Step 6: Final answer
    x = 15,661.46

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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.