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Finding the Fourth Proportional to 31,568.40, 47,352.20 and 9,079.63

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Solution

The fourth proportional to 31,568.40, 47,352.20 and 9,079.63 is: 13,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,568.40 : 47,352.20 = 9,079.63 : x
  2. Step 2: Convert to fraction form
    31,568.40/47,352.20 = 9,079.63/x
  3. Step 3: Cross multiply
    31,568.40x = 47,352.20 × 9,079.63
  4. Step 4: Simplify right side
    31,568.40x = 429,940,291.91
  5. Step 5: Solve for x
    x = 429,940,291.91/31,568.40
  6. Step 6: Final answer
    x = 13,619.32

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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.