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Finding the Fourth Proportional to 64,952.16, 89,634 and 36,663.84

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Solution

The fourth proportional to 64,952.16, 89,634 and 36,663.84 is: 50,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952.16 : 89,634 = 36,663.84 : x
  2. Step 2: Convert to fraction form
    64,952.16/89,634 = 36,663.84/x
  3. Step 3: Cross multiply
    64,952.16x = 89,634 × 36,663.84
  4. Step 4: Simplify right side
    64,952.16x = 3,286,326,634.56
  5. Step 5: Solve for x
    x = 3,286,326,634.56/64,952.16
  6. Step 6: Final answer
    x = 50,596.11

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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.