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Finding the Fourth Proportional to 29,309.66, 40,425 and 25,228.40

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Solution

The fourth proportional to 29,309.66, 40,425 and 25,228.40 is: 34,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,309.66 : 40,425 = 25,228.40 : x
  2. Step 2: Convert to fraction form
    29,309.66/40,425 = 25,228.40/x
  3. Step 3: Cross multiply
    29,309.66x = 40,425 × 25,228.40
  4. Step 4: Simplify right side
    29,309.66x = 1,019,858,171.06
  5. Step 5: Solve for x
    x = 1,019,858,171.06/29,309.66
  6. Step 6: Final answer
    x = 34,795.98

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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.