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Finding the Fourth Proportional to 57,825.54, 79,764.75 and 36,567.90

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Solution

The fourth proportional to 57,825.54, 79,764.75 and 36,567.90 is: 50,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,825.54 : 79,764.75 = 36,567.90 : x
  2. Step 2: Convert to fraction form
    57,825.54/79,764.75 = 36,567.90/x
  3. Step 3: Cross multiply
    57,825.54x = 79,764.75 × 36,567.90
  4. Step 4: Simplify right side
    57,825.54x = 2,916,829,401.53
  5. Step 5: Solve for x
    x = 2,916,829,401.53/57,825.54
  6. Step 6: Final answer
    x = 50,441.89

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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.