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Finding the Fourth Proportional to 67,765.48, 101,653.21 and 17,845.22

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Solution

The fourth proportional to 67,765.48, 101,653.21 and 17,845.22 is: 26,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,765.48 : 101,653.21 = 17,845.22 : x
  2. Step 2: Convert to fraction form
    67,765.48/101,653.21 = 17,845.22/x
  3. Step 3: Cross multiply
    67,765.48x = 101,653.21 × 17,845.22
  4. Step 4: Simplify right side
    67,765.48x = 1,814,024,199.28
  5. Step 5: Solve for x
    x = 1,814,024,199.28/67,765.48
  6. Step 6: Final answer
    x = 26,769.15

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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.