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Finding the Fourth Proportional to 31,469.66, 47,188.24 and 9,280.22

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Solution

The fourth proportional to 31,469.66, 47,188.24 and 9,280.22 is: 13,915.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469.66 : 47,188.24 = 9,280.22 : x
  2. Step 2: Convert to fraction form
    31,469.66/47,188.24 = 9,280.22/x
  3. Step 3: Cross multiply
    31,469.66x = 47,188.24 × 9,280.22
  4. Step 4: Simplify right side
    31,469.66x = 437,916,989.47
  5. Step 5: Solve for x
    x = 437,916,989.47/31,469.66
  6. Step 6: Final answer
    x = 13,915.53

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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.