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Finding the Fourth Proportional to 31,863.49, 47,792.13 and 9,677.05

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Solution

The fourth proportional to 31,863.49, 47,792.13 and 9,677.05 is: 14,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.49 : 47,792.13 = 9,677.05 : x
  2. Step 2: Convert to fraction form
    31,863.49/47,792.13 = 9,677.05/x
  3. Step 3: Cross multiply
    31,863.49x = 47,792.13 × 9,677.05
  4. Step 4: Simplify right side
    31,863.49x = 462,486,831.62
  5. Step 5: Solve for x
    x = 462,486,831.62/31,863.49
  6. Step 6: Final answer
    x = 14,514.63

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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.