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Finding the Fourth Proportional to 31,511.69, 47,250.82 and 9,322.01

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Solution

The fourth proportional to 31,511.69, 47,250.82 and 9,322.01 is: 13,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.69 : 47,250.82 = 9,322.01 : x
  2. Step 2: Convert to fraction form
    31,511.69/47,250.82 = 9,322.01/x
  3. Step 3: Cross multiply
    31,511.69x = 47,250.82 × 9,322.01
  4. Step 4: Simplify right side
    31,511.69x = 440,472,616.55
  5. Step 5: Solve for x
    x = 440,472,616.55/31,511.69
  6. Step 6: Final answer
    x = 13,978.07

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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.