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Finding the Fourth Proportional to 31,466.89, 47,171.17 and 15,662.17

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Solution

The fourth proportional to 31,466.89, 47,171.17 and 15,662.17 is: 23,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,466.89 : 47,171.17 = 15,662.17 : x
  2. Step 2: Convert to fraction form
    31,466.89/47,171.17 = 15,662.17/x
  3. Step 3: Cross multiply
    31,466.89x = 47,171.17 × 15,662.17
  4. Step 4: Simplify right side
    31,466.89x = 738,802,883.64
  5. Step 5: Solve for x
    x = 738,802,883.64/31,466.89
  6. Step 6: Final answer
    x = 23,478.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.