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Finding the Fourth Proportional to 54,498.68, 75,206.35 and 30,299.57

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Solution

The fourth proportional to 54,498.68, 75,206.35 and 30,299.57 is: 41,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,498.68 : 75,206.35 = 30,299.57 : x
  2. Step 2: Convert to fraction form
    54,498.68/75,206.35 = 30,299.57/x
  3. Step 3: Cross multiply
    54,498.68x = 75,206.35 × 30,299.57
  4. Step 4: Simplify right side
    54,498.68x = 2,278,720,066.27
  5. Step 5: Solve for x
    x = 2,278,720,066.27/54,498.68
  6. Step 6: Final answer
    x = 41,812.39

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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.