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Finding the Fourth Proportional to 31,892.22, 47,840.29 and 9,707.24

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Solution

The fourth proportional to 31,892.22, 47,840.29 and 9,707.24 is: 14,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892.22 : 47,840.29 = 9,707.24 : x
  2. Step 2: Convert to fraction form
    31,892.22/47,840.29 = 9,707.24/x
  3. Step 3: Cross multiply
    31,892.22x = 47,840.29 × 9,707.24
  4. Step 4: Simplify right side
    31,892.22x = 464,397,272.03
  5. Step 5: Solve for x
    x = 464,397,272.03/31,892.22
  6. Step 6: Final answer
    x = 14,561.46

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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.