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Finding the Fourth Proportional to 75,525, 104,224.68 and 41,997.48

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Solution

The fourth proportional to 75,525, 104,224.68 and 41,997.48 is: 57,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,525 : 104,224.68 = 41,997.48 : x
  2. Step 2: Convert to fraction form
    75,525/104,224.68 = 41,997.48/x
  3. Step 3: Cross multiply
    75,525x = 104,224.68 × 41,997.48
  4. Step 4: Simplify right side
    75,525x = 4,377,173,913.81
  5. Step 5: Solve for x
    x = 4,377,173,913.81/75,525
  6. Step 6: Final answer
    x = 57,956.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.