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Finding the Fourth Proportional to 31,483.41, 47,230.23 and 9,299.02

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Solution

The fourth proportional to 31,483.41, 47,230.23 and 9,299.02 is: 13,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.41 : 47,230.23 = 9,299.02 : x
  2. Step 2: Convert to fraction form
    31,483.41/47,230.23 = 9,299.02/x
  3. Step 3: Cross multiply
    31,483.41x = 47,230.23 × 9,299.02
  4. Step 4: Simplify right side
    31,483.41x = 439,194,853.37
  5. Step 5: Solve for x
    x = 439,194,853.37/31,483.41
  6. Step 6: Final answer
    x = 13,950.04

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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.