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Finding the Fourth Proportional to 31,635.01, 47,452.57 and 9,446.64

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Solution

The fourth proportional to 31,635.01, 47,452.57 and 9,446.64 is: 14,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.01 : 47,452.57 = 9,446.64 : x
  2. Step 2: Convert to fraction form
    31,635.01/47,452.57 = 9,446.64/x
  3. Step 3: Cross multiply
    31,635.01x = 47,452.57 × 9,446.64
  4. Step 4: Simplify right side
    31,635.01x = 448,267,411.22
  5. Step 5: Solve for x
    x = 448,267,411.22/31,635.01
  6. Step 6: Final answer
    x = 14,169.98

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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.