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Finding the Fourth Proportional to 31,601.34, 47,401.98 and 9,415.02

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Solution

The fourth proportional to 31,601.34, 47,401.98 and 9,415.02 is: 14,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601.34 : 47,401.98 = 9,415.02 : x
  2. Step 2: Convert to fraction form
    31,601.34/47,401.98 = 9,415.02/x
  3. Step 3: Cross multiply
    31,601.34x = 47,401.98 × 9,415.02
  4. Step 4: Simplify right side
    31,601.34x = 446,290,589.74
  5. Step 5: Solve for x
    x = 446,290,589.74/31,601.34
  6. Step 6: Final answer
    x = 14,122.52

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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.