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Finding the Fourth Proportional to 31,381.61, 47,072.41 and 9,194.99

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Solution

The fourth proportional to 31,381.61, 47,072.41 and 9,194.99 is: 13,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381.61 : 47,072.41 = 9,194.99 : x
  2. Step 2: Convert to fraction form
    31,381.61/47,072.41 = 9,194.99/x
  3. Step 3: Cross multiply
    31,381.61x = 47,072.41 × 9,194.99
  4. Step 4: Simplify right side
    31,381.61x = 432,830,339.23
  5. Step 5: Solve for x
    x = 432,830,339.23/31,381.61
  6. Step 6: Final answer
    x = 13,792.48

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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.