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Finding the Fourth Proportional to 64,957.16, 89,640.74 and 35,149.16

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Solution

The fourth proportional to 64,957.16, 89,640.74 and 35,149.16 is: 48,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,957.16 : 89,640.74 = 35,149.16 : x
  2. Step 2: Convert to fraction form
    64,957.16/89,640.74 = 35,149.16/x
  3. Step 3: Cross multiply
    64,957.16x = 89,640.74 × 35,149.16
  4. Step 4: Simplify right side
    64,957.16x = 3,150,796,712.78
  5. Step 5: Solve for x
    x = 3,150,796,712.78/64,957.16
  6. Step 6: Final answer
    x = 48,505.76

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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.