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Finding the Fourth Proportional to 31,436.48, 47,145 and 9,244.28

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Solution

The fourth proportional to 31,436.48, 47,145 and 9,244.28 is: 13,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,436.48 : 47,145 = 9,244.28 : x
  2. Step 2: Convert to fraction form
    31,436.48/47,145 = 9,244.28/x
  3. Step 3: Cross multiply
    31,436.48x = 47,145 × 9,244.28
  4. Step 4: Simplify right side
    31,436.48x = 435,821,580.60
  5. Step 5: Solve for x
    x = 435,821,580.60/31,436.48
  6. Step 6: Final answer
    x = 13,863.56

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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.