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Finding the Fourth Proportional to 67,101.94, 100,665.06 and 27,637.53

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Solution

The fourth proportional to 67,101.94, 100,665.06 and 27,637.53 is: 41,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,101.94 : 100,665.06 = 27,637.53 : x
  2. Step 2: Convert to fraction form
    67,101.94/100,665.06 = 27,637.53/x
  3. Step 3: Cross multiply
    67,101.94x = 100,665.06 × 27,637.53
  4. Step 4: Simplify right side
    67,101.94x = 2,782,133,615.70
  5. Step 5: Solve for x
    x = 2,782,133,615.70/67,101.94
  6. Step 6: Final answer
    x = 41,461.30

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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.