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Finding the Fourth Proportional to 31,369.41, 47,058.84 and 9,180

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Solution

The fourth proportional to 31,369.41, 47,058.84 and 9,180 is: 13,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,369.41 : 47,058.84 = 9,180 : x
  2. Step 2: Convert to fraction form
    31,369.41/47,058.84 = 9,180/x
  3. Step 3: Cross multiply
    31,369.41x = 47,058.84 × 9,180
  4. Step 4: Simplify right side
    31,369.41x = 432,000,151.20
  5. Step 5: Solve for x
    x = 432,000,151.20/31,369.41
  6. Step 6: Final answer
    x = 13,771.38

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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.