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Finding the Fourth Proportional to 31,349.27, 47,019.04 and 9,156.69

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Solution

The fourth proportional to 31,349.27, 47,019.04 and 9,156.69 is: 13,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,349.27 : 47,019.04 = 9,156.69 : x
  2. Step 2: Convert to fraction form
    31,349.27/47,019.04 = 9,156.69/x
  3. Step 3: Cross multiply
    31,349.27x = 47,019.04 × 9,156.69
  4. Step 4: Simplify right side
    31,349.27x = 430,538,750.49
  5. Step 5: Solve for x
    x = 430,538,750.49/31,349.27
  6. Step 6: Final answer
    x = 13,733.61

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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.