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Finding the Fourth Proportional to 36,509.92, 50,383 and 20,594.40

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Solution

The fourth proportional to 36,509.92, 50,383 and 20,594.40 is: 28,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.92 : 50,383 = 20,594.40 : x
  2. Step 2: Convert to fraction form
    36,509.92/50,383 = 20,594.40/x
  3. Step 3: Cross multiply
    36,509.92x = 50,383 × 20,594.40
  4. Step 4: Simplify right side
    36,509.92x = 1,037,607,655.20
  5. Step 5: Solve for x
    x = 1,037,607,655.20/36,509.92
  6. Step 6: Final answer
    x = 28,419.88

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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.