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Finding the Fourth Proportional to 75,593, 104,318.36 and 42,059

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Solution

The fourth proportional to 75,593, 104,318.36 and 42,059 is: 58,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,593 : 104,318.36 = 42,059 : x
  2. Step 2: Convert to fraction form
    75,593/104,318.36 = 42,059/x
  3. Step 3: Cross multiply
    75,593x = 104,318.36 × 42,059
  4. Step 4: Simplify right side
    75,593x = 4,387,525,903.24
  5. Step 5: Solve for x
    x = 4,387,525,903.24/75,593
  6. Step 6: Final answer
    x = 58,041.43

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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.