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Finding the Fourth Proportional to 64,502.28, 89,013.78 and 35,822.52

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Solution

The fourth proportional to 64,502.28, 89,013.78 and 35,822.52 is: 49,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,502.28 : 89,013.78 = 35,822.52 : x
  2. Step 2: Convert to fraction form
    64,502.28/89,013.78 = 35,822.52/x
  3. Step 3: Cross multiply
    64,502.28x = 89,013.78 × 35,822.52
  4. Step 4: Simplify right side
    64,502.28x = 3,188,697,914.33
  5. Step 5: Solve for x
    x = 3,188,697,914.33/64,502.28
  6. Step 6: Final answer
    x = 49,435.43

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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.