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Finding the Fourth Proportional to 64,182.87, 96,321.60 and 30,448.98

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Solution

The fourth proportional to 64,182.87, 96,321.60 and 30,448.98 is: 45,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,182.87 : 96,321.60 = 30,448.98 : x
  2. Step 2: Convert to fraction form
    64,182.87/96,321.60 = 30,448.98/x
  3. Step 3: Cross multiply
    64,182.87x = 96,321.60 × 30,448.98
  4. Step 4: Simplify right side
    64,182.87x = 2,932,894,471.97
  5. Step 5: Solve for x
    x = 2,932,894,471.97/64,182.87
  6. Step 6: Final answer
    x = 45,695.91

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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.