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Finding the Fourth Proportional to 31,888.87, 47,831.36 and 11,894.50

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Solution

The fourth proportional to 31,888.87, 47,831.36 and 11,894.50 is: 17,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.87 : 47,831.36 = 11,894.50 : x
  2. Step 2: Convert to fraction form
    31,888.87/47,831.36 = 11,894.50/x
  3. Step 3: Cross multiply
    31,888.87x = 47,831.36 × 11,894.50
  4. Step 4: Simplify right side
    31,888.87x = 568,930,231.10
  5. Step 5: Solve for x
    x = 568,930,231.10/31,888.87
  6. Step 6: Final answer
    x = 17,841.03

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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.