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Finding the Fourth Proportional to 35,422.38, 48,882.14 and 19,506.96

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Solution

The fourth proportional to 35,422.38, 48,882.14 and 19,506.96 is: 26,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,422.38 : 48,882.14 = 19,506.96 : x
  2. Step 2: Convert to fraction form
    35,422.38/48,882.14 = 19,506.96/x
  3. Step 3: Cross multiply
    35,422.38x = 48,882.14 × 19,506.96
  4. Step 4: Simplify right side
    35,422.38x = 953,541,607.75
  5. Step 5: Solve for x
    x = 953,541,607.75/35,422.38
  6. Step 6: Final answer
    x = 26,919.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.