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Finding the Fourth Proportional to 64,383.32, 96,575.04 and 36,623

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Solution

The fourth proportional to 64,383.32, 96,575.04 and 36,623 is: 54,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,383.32 : 96,575.04 = 36,623 : x
  2. Step 2: Convert to fraction form
    64,383.32/96,575.04 = 36,623/x
  3. Step 3: Cross multiply
    64,383.32x = 96,575.04 × 36,623
  4. Step 4: Simplify right side
    64,383.32x = 3,536,867,689.92
  5. Step 5: Solve for x
    x = 3,536,867,689.92/64,383.32
  6. Step 6: Final answer
    x = 54,934.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.