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Finding the Fourth Proportional to 31,860.14, 47,792.07 and 9,674.24

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Solution

The fourth proportional to 31,860.14, 47,792.07 and 9,674.24 is: 14,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860.14 : 47,792.07 = 9,674.24 : x
  2. Step 2: Convert to fraction form
    31,860.14/47,792.07 = 9,674.24/x
  3. Step 3: Cross multiply
    31,860.14x = 47,792.07 × 9,674.24
  4. Step 4: Simplify right side
    31,860.14x = 462,351,955.28
  5. Step 5: Solve for x
    x = 462,351,955.28/31,860.14
  6. Step 6: Final answer
    x = 14,511.92

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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.