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Finding the Fourth Proportional to 31,907, 47,868.22 and 10,019

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Solution

The fourth proportional to 31,907, 47,868.22 and 10,019 is: 15,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907 : 47,868.22 = 10,019 : x
  2. Step 2: Convert to fraction form
    31,907/47,868.22 = 10,019/x
  3. Step 3: Cross multiply
    31,907x = 47,868.22 × 10,019
  4. Step 4: Simplify right side
    31,907x = 479,591,696.18
  5. Step 5: Solve for x
    x = 479,591,696.18/31,907
  6. Step 6: Final answer
    x = 15,030.92

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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.