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Finding the Fourth Proportional to 31,418.42, 43,316.98 and 25,732.22

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Solution

The fourth proportional to 31,418.42, 43,316.98 and 25,732.22 is: 35,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.42 : 43,316.98 = 25,732.22 : x
  2. Step 2: Convert to fraction form
    31,418.42/43,316.98 = 25,732.22/x
  3. Step 3: Cross multiply
    31,418.42x = 43,316.98 × 25,732.22
  4. Step 4: Simplify right side
    31,418.42x = 1,114,642,059.10
  5. Step 5: Solve for x
    x = 1,114,642,059.10/31,418.42
  6. Step 6: Final answer
    x = 35,477.34

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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.