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Finding the Fourth Proportional to 31,381.49, 47,072.23 and 9,194.86

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Solution

The fourth proportional to 31,381.49, 47,072.23 and 9,194.86 is: 13,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381.49 : 47,072.23 = 9,194.86 : x
  2. Step 2: Convert to fraction form
    31,381.49/47,072.23 = 9,194.86/x
  3. Step 3: Cross multiply
    31,381.49x = 47,072.23 × 9,194.86
  4. Step 4: Simplify right side
    31,381.49x = 432,822,424.07
  5. Step 5: Solve for x
    x = 432,822,424.07/31,381.49
  6. Step 6: Final answer
    x = 13,792.28

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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.