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Finding the Fourth Proportional to 67,513.48, 101,214.32 and 42,546.44

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Solution

The fourth proportional to 67,513.48, 101,214.32 and 42,546.44 is: 63,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,513.48 : 101,214.32 = 42,546.44 : x
  2. Step 2: Convert to fraction form
    67,513.48/101,214.32 = 42,546.44/x
  3. Step 3: Cross multiply
    67,513.48x = 101,214.32 × 42,546.44
  4. Step 4: Simplify right side
    67,513.48x = 4,306,308,993.02
  5. Step 5: Solve for x
    x = 4,306,308,993.02/67,513.48
  6. Step 6: Final answer
    x = 63,784.43

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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.