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Finding the Fourth Proportional to 31,417.50, 43,344.13 and 23,260.53

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Solution

The fourth proportional to 31,417.50, 43,344.13 and 23,260.53 is: 32,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.50 : 43,344.13 = 23,260.53 : x
  2. Step 2: Convert to fraction form
    31,417.50/43,344.13 = 23,260.53/x
  3. Step 3: Cross multiply
    31,417.50x = 43,344.13 × 23,260.53
  4. Step 4: Simplify right side
    31,417.50x = 1,008,207,436.19
  5. Step 5: Solve for x
    x = 1,008,207,436.19/31,417.50
  6. Step 6: Final answer
    x = 32,090.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.