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Finding the Fourth Proportional to 67,857.68, 101,849.16 and 48,902

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Solution

The fourth proportional to 67,857.68, 101,849.16 and 48,902 is: 73,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,857.68 : 101,849.16 = 48,902 : x
  2. Step 2: Convert to fraction form
    67,857.68/101,849.16 = 48,902/x
  3. Step 3: Cross multiply
    67,857.68x = 101,849.16 × 48,902
  4. Step 4: Simplify right side
    67,857.68x = 4,980,627,622.32
  5. Step 5: Solve for x
    x = 4,980,627,622.32/67,857.68
  6. Step 6: Final answer
    x = 73,398.14

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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.