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Finding the Fourth Proportional to 75,593.68, 113,351.64 and 34,018

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Solution

The fourth proportional to 75,593.68, 113,351.64 and 34,018 is: 51,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,593.68 : 113,351.64 = 34,018 : x
  2. Step 2: Convert to fraction form
    75,593.68/113,351.64 = 34,018/x
  3. Step 3: Cross multiply
    75,593.68x = 113,351.64 × 34,018
  4. Step 4: Simplify right side
    75,593.68x = 3,855,996,089.52
  5. Step 5: Solve for x
    x = 3,855,996,089.52/75,593.68
  6. Step 6: Final answer
    x = 51,009.50

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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.