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Finding the Fourth Proportional to 64,823.92, 89,456.48 and 36,143.24

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Solution

The fourth proportional to 64,823.92, 89,456.48 and 36,143.24 is: 49,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,823.92 : 89,456.48 = 36,143.24 : x
  2. Step 2: Convert to fraction form
    64,823.92/89,456.48 = 36,143.24/x
  3. Step 3: Cross multiply
    64,823.92x = 89,456.48 × 36,143.24
  4. Step 4: Simplify right side
    64,823.92x = 3,233,247,026.20
  5. Step 5: Solve for x
    x = 3,233,247,026.20/64,823.92
  6. Step 6: Final answer
    x = 49,877.38

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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.