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Finding the Fourth Proportional to 75,788.88, 113,648.76 and 36,364.56

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Solution

The fourth proportional to 75,788.88, 113,648.76 and 36,364.56 is: 54,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,788.88 : 113,648.76 = 36,364.56 : x
  2. Step 2: Convert to fraction form
    75,788.88/113,648.76 = 36,364.56/x
  3. Step 3: Cross multiply
    75,788.88x = 113,648.76 × 36,364.56
  4. Step 4: Simplify right side
    75,788.88x = 4,132,787,151.95
  5. Step 5: Solve for x
    x = 4,132,787,151.95/75,788.88
  6. Step 6: Final answer
    x = 54,530.26

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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.