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Finding the Fourth Proportional to 67,457.52, 101,241.36 and 47,755.20

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Solution

The fourth proportional to 67,457.52, 101,241.36 and 47,755.20 is: 71,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,457.52 : 101,241.36 = 47,755.20 : x
  2. Step 2: Convert to fraction form
    67,457.52/101,241.36 = 47,755.20/x
  3. Step 3: Cross multiply
    67,457.52x = 101,241.36 × 47,755.20
  4. Step 4: Simplify right side
    67,457.52x = 4,834,801,395.07
  5. Step 5: Solve for x
    x = 4,834,801,395.07/67,457.52
  6. Step 6: Final answer
    x = 71,671.79

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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.