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Finding the Fourth Proportional to 31,469.79, 47,188.43 and 9,280.34

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Solution

The fourth proportional to 31,469.79, 47,188.43 and 9,280.34 is: 13,915.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469.79 : 47,188.43 = 9,280.34 : x
  2. Step 2: Convert to fraction form
    31,469.79/47,188.43 = 9,280.34/x
  3. Step 3: Cross multiply
    31,469.79x = 47,188.43 × 9,280.34
  4. Step 4: Simplify right side
    31,469.79x = 437,924,628.06
  5. Step 5: Solve for x
    x = 437,924,628.06/31,469.79
  6. Step 6: Final answer
    x = 13,915.72

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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.