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Finding the Fourth Proportional to 64,143.50, 96,235.97 and 30,859.11

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Solution

The fourth proportional to 64,143.50, 96,235.97 and 30,859.11 is: 46,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,143.50 : 96,235.97 = 30,859.11 : x
  2. Step 2: Convert to fraction form
    64,143.50/96,235.97 = 30,859.11/x
  3. Step 3: Cross multiply
    64,143.50x = 96,235.97 × 30,859.11
  4. Step 4: Simplify right side
    64,143.50x = 2,969,756,229.89
  5. Step 5: Solve for x
    x = 2,969,756,229.89/64,143.50
  6. Step 6: Final answer
    x = 46,298.63

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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.