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Finding the Fourth Proportional to 59,717.54, 82,412.16 and 32,862

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Solution

The fourth proportional to 59,717.54, 82,412.16 and 32,862 is: 45,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,717.54 : 82,412.16 = 32,862 : x
  2. Step 2: Convert to fraction form
    59,717.54/82,412.16 = 32,862/x
  3. Step 3: Cross multiply
    59,717.54x = 82,412.16 × 32,862
  4. Step 4: Simplify right side
    59,717.54x = 2,708,228,401.92
  5. Step 5: Solve for x
    x = 2,708,228,401.92/59,717.54
  6. Step 6: Final answer
    x = 45,350.64

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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.