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Finding the Fourth Proportional to 64,952.82, 89,614.49 and 38,096.46

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Solution

The fourth proportional to 64,952.82, 89,614.49 and 38,096.46 is: 52,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952.82 : 89,614.49 = 38,096.46 : x
  2. Step 2: Convert to fraction form
    64,952.82/89,614.49 = 38,096.46/x
  3. Step 3: Cross multiply
    64,952.82x = 89,614.49 × 38,096.46
  4. Step 4: Simplify right side
    64,952.82x = 3,413,994,643.22
  5. Step 5: Solve for x
    x = 3,413,994,643.22/64,952.82
  6. Step 6: Final answer
    x = 52,561.15

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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.