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Finding the Fourth Proportional to 31,512.30, 47,277.63 and 9,326.22

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Solution

The fourth proportional to 31,512.30, 47,277.63 and 9,326.22 is: 13,992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512.30 : 47,277.63 = 9,326.22 : x
  2. Step 2: Convert to fraction form
    31,512.30/47,277.63 = 9,326.22/x
  3. Step 3: Cross multiply
    31,512.30x = 47,277.63 × 9,326.22
  4. Step 4: Simplify right side
    31,512.30x = 440,921,578.46
  5. Step 5: Solve for x
    x = 440,921,578.46/31,512.30
  6. Step 6: Final answer
    x = 13,992.05

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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.