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Finding the Fourth Proportional to 31,616.05, 47,430.96 and 9,431.23

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Solution

The fourth proportional to 31,616.05, 47,430.96 and 9,431.23 is: 14,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.05 : 47,430.96 = 9,431.23 : x
  2. Step 2: Convert to fraction form
    31,616.05/47,430.96 = 9,431.23/x
  3. Step 3: Cross multiply
    31,616.05x = 47,430.96 × 9,431.23
  4. Step 4: Simplify right side
    31,616.05x = 447,332,292.88
  5. Step 5: Solve for x
    x = 447,332,292.88/31,616.05
  6. Step 6: Final answer
    x = 14,148.90

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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.