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Finding the Fourth Proportional to 101,442.60, 152,163.90 and 48,839.40

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Solution

The fourth proportional to 101,442.60, 152,163.90 and 48,839.40 is: 73,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,442.60 : 152,163.90 = 48,839.40 : x
  2. Step 2: Convert to fraction form
    101,442.60/152,163.90 = 48,839.40/x
  3. Step 3: Cross multiply
    101,442.60x = 152,163.90 × 48,839.40
  4. Step 4: Simplify right side
    101,442.60x = 7,431,593,577.66
  5. Step 5: Solve for x
    x = 7,431,593,577.66/101,442.60
  6. Step 6: Final answer
    x = 73,259.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.