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Finding the Fourth Proportional to 31,523.88, 47,292.74 and 9,338.99

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Solution

The fourth proportional to 31,523.88, 47,292.74 and 9,338.99 is: 14,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523.88 : 47,292.74 = 9,338.99 : x
  2. Step 2: Convert to fraction form
    31,523.88/47,292.74 = 9,338.99/x
  3. Step 3: Cross multiply
    31,523.88x = 47,292.74 × 9,338.99
  4. Step 4: Simplify right side
    31,523.88x = 441,666,379.24
  5. Step 5: Solve for x
    x = 441,666,379.24/31,523.88
  6. Step 6: Final answer
    x = 14,010.53

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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.