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Finding the Fourth Proportional to 31,662.57, 47,496.33 and 10,602.69

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Solution

The fourth proportional to 31,662.57, 47,496.33 and 10,602.69 is: 15,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.57 : 47,496.33 = 10,602.69 : x
  2. Step 2: Convert to fraction form
    31,662.57/47,496.33 = 10,602.69/x
  3. Step 3: Cross multiply
    31,662.57x = 47,496.33 × 10,602.69
  4. Step 4: Simplify right side
    31,662.57x = 503,588,863.13
  5. Step 5: Solve for x
    x = 503,588,863.13/31,662.57
  6. Step 6: Final answer
    x = 15,904.86

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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.