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Finding the Fourth Proportional to 31,417.42, 43,315.60 and 25,731.22

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Solution

The fourth proportional to 31,417.42, 43,315.60 and 25,731.22 is: 35,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.42 : 43,315.60 = 25,731.22 : x
  2. Step 2: Convert to fraction form
    31,417.42/43,315.60 = 25,731.22/x
  3. Step 3: Cross multiply
    31,417.42x = 43,315.60 × 25,731.22
  4. Step 4: Simplify right side
    31,417.42x = 1,114,563,233.03
  5. Step 5: Solve for x
    x = 1,114,563,233.03/31,417.42
  6. Step 6: Final answer
    x = 35,475.96

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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.