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Finding the Fourth Proportional to 31,358.26, 47,033.34 and 7,983.28

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Solution

The fourth proportional to 31,358.26, 47,033.34 and 7,983.28 is: 11,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,358.26 : 47,033.34 = 7,983.28 : x
  2. Step 2: Convert to fraction form
    31,358.26/47,033.34 = 7,983.28/x
  3. Step 3: Cross multiply
    31,358.26x = 47,033.34 × 7,983.28
  4. Step 4: Simplify right side
    31,358.26x = 375,480,322.56
  5. Step 5: Solve for x
    x = 375,480,322.56/31,358.26
  6. Step 6: Final answer
    x = 11,973.89

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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.