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Finding the Fourth Proportional to 64,854.36, 89,493.64 and 36,567

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Solution

The fourth proportional to 64,854.36, 89,493.64 and 36,567 is: 50,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,854.36 : 89,493.64 = 36,567 : x
  2. Step 2: Convert to fraction form
    64,854.36/89,493.64 = 36,567/x
  3. Step 3: Cross multiply
    64,854.36x = 89,493.64 × 36,567
  4. Step 4: Simplify right side
    64,854.36x = 3,272,513,933.88
  5. Step 5: Solve for x
    x = 3,272,513,933.88/64,854.36
  6. Step 6: Final answer
    x = 50,459.43

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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.