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Finding the Fourth Proportional to 31,815.67, 47,724.19 and 9,629.01

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Solution

The fourth proportional to 31,815.67, 47,724.19 and 9,629.01 is: 14,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,815.67 : 47,724.19 = 9,629.01 : x
  2. Step 2: Convert to fraction form
    31,815.67/47,724.19 = 9,629.01/x
  3. Step 3: Cross multiply
    31,815.67x = 47,724.19 × 9,629.01
  4. Step 4: Simplify right side
    31,815.67x = 459,536,678.68
  5. Step 5: Solve for x
    x = 459,536,678.68/31,815.67
  6. Step 6: Final answer
    x = 14,443.72

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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.