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Finding the Fourth Proportional to 31,668.02, 47,494.91 and 9,478.55

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Solution

The fourth proportional to 31,668.02, 47,494.91 and 9,478.55 is: 14,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,668.02 : 47,494.91 = 9,478.55 : x
  2. Step 2: Convert to fraction form
    31,668.02/47,494.91 = 9,478.55/x
  3. Step 3: Cross multiply
    31,668.02x = 47,494.91 × 9,478.55
  4. Step 4: Simplify right side
    31,668.02x = 450,182,594.31
  5. Step 5: Solve for x
    x = 450,182,594.31/31,668.02
  6. Step 6: Final answer
    x = 14,215.69

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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.