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Finding the Fourth Proportional to 67,412.70, 101,110.95 and 27,965.70

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Solution

The fourth proportional to 67,412.70, 101,110.95 and 27,965.70 is: 41,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,412.70 : 101,110.95 = 27,965.70 : x
  2. Step 2: Convert to fraction form
    67,412.70/101,110.95 = 27,965.70/x
  3. Step 3: Cross multiply
    67,412.70x = 101,110.95 × 27,965.70
  4. Step 4: Simplify right side
    67,412.70x = 2,827,638,494.42
  5. Step 5: Solve for x
    x = 2,827,638,494.42/67,412.70
  6. Step 6: Final answer
    x = 41,945.19

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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.