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Finding the Fourth Proportional to 29,742.84, 40,942.08 and 25,707.80

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Solution

The fourth proportional to 29,742.84, 40,942.08 and 25,707.80 is: 35,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.84 : 40,942.08 = 25,707.80 : x
  2. Step 2: Convert to fraction form
    29,742.84/40,942.08 = 25,707.80/x
  3. Step 3: Cross multiply
    29,742.84x = 40,942.08 × 25,707.80
  4. Step 4: Simplify right side
    29,742.84x = 1,052,530,804.22
  5. Step 5: Solve for x
    x = 1,052,530,804.22/29,742.84
  6. Step 6: Final answer
    x = 35,387.70

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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.