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Finding the Fourth Proportional to 55,000, 75,919.68 and 32,644

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Solution

The fourth proportional to 55,000, 75,919.68 and 32,644 is: 45,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,000 : 75,919.68 = 32,644 : x
  2. Step 2: Convert to fraction form
    55,000/75,919.68 = 32,644/x
  3. Step 3: Cross multiply
    55,000x = 75,919.68 × 32,644
  4. Step 4: Simplify right side
    55,000x = 2,478,322,033.92
  5. Step 5: Solve for x
    x = 2,478,322,033.92/55,000
  6. Step 6: Final answer
    x = 45,060.40

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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.