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Finding the Fourth Proportional to 75,531.87, 104,249.07 and 57,594.84

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Solution

The fourth proportional to 75,531.87, 104,249.07 and 57,594.84 is: 79,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,531.87 : 104,249.07 = 57,594.84 : x
  2. Step 2: Convert to fraction form
    75,531.87/104,249.07 = 57,594.84/x
  3. Step 3: Cross multiply
    75,531.87x = 104,249.07 × 57,594.84
  4. Step 4: Simplify right side
    75,531.87x = 6,004,208,506.80
  5. Step 5: Solve for x
    x = 6,004,208,506.80/75,531.87
  6. Step 6: Final answer
    x = 79,492.39

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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.