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Finding the Fourth Proportional to 75,998, 113,997.04 and 20,594

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Solution

The fourth proportional to 75,998, 113,997.04 and 20,594 is: 30,891.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,998 : 113,997.04 = 20,594 : x
  2. Step 2: Convert to fraction form
    75,998/113,997.04 = 20,594/x
  3. Step 3: Cross multiply
    75,998x = 113,997.04 × 20,594
  4. Step 4: Simplify right side
    75,998x = 2,347,655,041.76
  5. Step 5: Solve for x
    x = 2,347,655,041.76/75,998
  6. Step 6: Final answer
    x = 30,891.01

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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.