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Finding the Fourth Proportional to 30,530.97, 42,111.23 and 25,982.01

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Solution

The fourth proportional to 30,530.97, 42,111.23 and 25,982.01 is: 35,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.97 : 42,111.23 = 25,982.01 : x
  2. Step 2: Convert to fraction form
    30,530.97/42,111.23 = 25,982.01/x
  3. Step 3: Cross multiply
    30,530.97x = 42,111.23 × 25,982.01
  4. Step 4: Simplify right side
    30,530.97x = 1,094,134,269.06
  5. Step 5: Solve for x
    x = 1,094,134,269.06/30,530.97
  6. Step 6: Final answer
    x = 35,836.87

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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.