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Finding the Fourth Proportional to 73,830.30, 101,850.38 and 48,325.44

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Solution

The fourth proportional to 73,830.30, 101,850.38 and 48,325.44 is: 66,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,830.30 : 101,850.38 = 48,325.44 : x
  2. Step 2: Convert to fraction form
    73,830.30/101,850.38 = 48,325.44/x
  3. Step 3: Cross multiply
    73,830.30x = 101,850.38 × 48,325.44
  4. Step 4: Simplify right side
    73,830.30x = 4,921,964,427.67
  5. Step 5: Solve for x
    x = 4,921,964,427.67/73,830.30
  6. Step 6: Final answer
    x = 66,665.91

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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.