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Finding the Fourth Proportional to 54,402.50, 75,082.91 and 30,530.58

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Solution

The fourth proportional to 54,402.50, 75,082.91 and 30,530.58 is: 42,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,402.50 : 75,082.91 = 30,530.58 : x
  2. Step 2: Convert to fraction form
    54,402.50/75,082.91 = 30,530.58/x
  3. Step 3: Cross multiply
    54,402.50x = 75,082.91 × 30,530.58
  4. Step 4: Simplify right side
    54,402.50x = 2,292,324,790.39
  5. Step 5: Solve for x
    x = 2,292,324,790.39/54,402.50
  6. Step 6: Final answer
    x = 42,136.39

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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.