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Finding the Fourth Proportional to 31,823.20, 47,722.65 and 9,629.20

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Solution

The fourth proportional to 31,823.20, 47,722.65 and 9,629.20 is: 14,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823.20 : 47,722.65 = 9,629.20 : x
  2. Step 2: Convert to fraction form
    31,823.20/47,722.65 = 9,629.20/x
  3. Step 3: Cross multiply
    31,823.20x = 47,722.65 × 9,629.20
  4. Step 4: Simplify right side
    31,823.20x = 459,530,941.38
  5. Step 5: Solve for x
    x = 459,530,941.38/31,823.20
  6. Step 6: Final answer
    x = 14,440.12

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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.