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Finding the Fourth Proportional to 64,523.52, 89,046 and 36,233.28

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Solution

The fourth proportional to 64,523.52, 89,046 and 36,233.28 is: 50,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,523.52 : 89,046 = 36,233.28 : x
  2. Step 2: Convert to fraction form
    64,523.52/89,046 = 36,233.28/x
  3. Step 3: Cross multiply
    64,523.52x = 89,046 × 36,233.28
  4. Step 4: Simplify right side
    64,523.52x = 3,226,428,650.88
  5. Step 5: Solve for x
    x = 3,226,428,650.88/64,523.52
  6. Step 6: Final answer
    x = 50,003.92

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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.