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Finding the Fourth Proportional to 31,378.62, 47,055.42 and 13,836

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Solution

The fourth proportional to 31,378.62, 47,055.42 and 13,836 is: 20,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.62 : 47,055.42 = 13,836 : x
  2. Step 2: Convert to fraction form
    31,378.62/47,055.42 = 13,836/x
  3. Step 3: Cross multiply
    31,378.62x = 47,055.42 × 13,836
  4. Step 4: Simplify right side
    31,378.62x = 651,058,791.12
  5. Step 5: Solve for x
    x = 651,058,791.12/31,378.62
  6. Step 6: Final answer
    x = 20,748.48

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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.