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Finding the Fourth Proportional to 69,616.32, 96,095.46 and 41,322

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Solution

The fourth proportional to 69,616.32, 96,095.46 and 41,322 is: 57,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,616.32 : 96,095.46 = 41,322 : x
  2. Step 2: Convert to fraction form
    69,616.32/96,095.46 = 41,322/x
  3. Step 3: Cross multiply
    69,616.32x = 96,095.46 × 41,322
  4. Step 4: Simplify right side
    69,616.32x = 3,970,856,598.12
  5. Step 5: Solve for x
    x = 3,970,856,598.12/69,616.32
  6. Step 6: Final answer
    x = 57,039.16

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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.