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Finding the Fourth Proportional to 31,890.36, 47,854.07 and 17,660.28

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Solution

The fourth proportional to 31,890.36, 47,854.07 and 17,660.28 is: 26,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,890.36 : 47,854.07 = 17,660.28 : x
  2. Step 2: Convert to fraction form
    31,890.36/47,854.07 = 17,660.28/x
  3. Step 3: Cross multiply
    31,890.36x = 47,854.07 × 17,660.28
  4. Step 4: Simplify right side
    31,890.36x = 845,116,113.87
  5. Step 5: Solve for x
    x = 845,116,113.87/31,890.36
  6. Step 6: Final answer
    x = 26,500.68

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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.