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Finding the Fourth Proportional to 31,418.53, 47,128.03 and 9,232.23

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Solution

The fourth proportional to 31,418.53, 47,128.03 and 9,232.23 is: 13,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.53 : 47,128.03 = 9,232.23 : x
  2. Step 2: Convert to fraction form
    31,418.53/47,128.03 = 9,232.23/x
  3. Step 3: Cross multiply
    31,418.53x = 47,128.03 × 9,232.23
  4. Step 4: Simplify right side
    31,418.53x = 435,096,700.96
  5. Step 5: Solve for x
    x = 435,096,700.96/31,418.53
  6. Step 6: Final answer
    x = 13,848.41

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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.