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Finding the Fourth Proportional to 64,967.11, 89,648.77 and 36,282.78

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Solution

The fourth proportional to 64,967.11, 89,648.77 and 36,282.78 is: 50,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,967.11 : 89,648.77 = 36,282.78 : x
  2. Step 2: Convert to fraction form
    64,967.11/89,648.77 = 36,282.78/x
  3. Step 3: Cross multiply
    64,967.11x = 89,648.77 × 36,282.78
  4. Step 4: Simplify right side
    64,967.11x = 3,252,706,599.18
  5. Step 5: Solve for x
    x = 3,252,706,599.18/64,967.11
  6. Step 6: Final answer
    x = 50,066.97

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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.