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Finding the Fourth Proportional to 75,651.48, 113,371.01 and 59,786.76

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Solution

The fourth proportional to 75,651.48, 113,371.01 and 59,786.76 is: 89,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,651.48 : 113,371.01 = 59,786.76 : x
  2. Step 2: Convert to fraction form
    75,651.48/113,371.01 = 59,786.76/x
  3. Step 3: Cross multiply
    75,651.48x = 113,371.01 × 59,786.76
  4. Step 4: Simplify right side
    75,651.48x = 6,778,085,066.89
  5. Step 5: Solve for x
    x = 6,778,085,066.89/75,651.48
  6. Step 6: Final answer
    x = 89,596.20

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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.