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Finding the Fourth Proportional to 35,422, 48,882.36 and 19,506.43

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Solution

The fourth proportional to 35,422, 48,882.36 and 19,506.43 is: 26,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,422 : 48,882.36 = 19,506.43 : x
  2. Step 2: Convert to fraction form
    35,422/48,882.36 = 19,506.43/x
  3. Step 3: Cross multiply
    35,422x = 48,882.36 × 19,506.43
  4. Step 4: Simplify right side
    35,422x = 953,520,333.57
  5. Step 5: Solve for x
    x = 953,520,333.57/35,422
  6. Step 6: Final answer
    x = 26,918.87

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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.