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Finding the Fourth Proportional to 35,103, 48,442.14 and 20,207.64

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Solution

The fourth proportional to 35,103, 48,442.14 and 20,207.64 is: 27,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,103 : 48,442.14 = 20,207.64 : x
  2. Step 2: Convert to fraction form
    35,103/48,442.14 = 20,207.64/x
  3. Step 3: Cross multiply
    35,103x = 48,442.14 × 20,207.64
  4. Step 4: Simplify right side
    35,103x = 978,901,325.95
  5. Step 5: Solve for x
    x = 978,901,325.95/35,103
  6. Step 6: Final answer
    x = 27,886.54

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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.