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Finding the Fourth Proportional to 66,682.38, 91,978.32 and 42,771.18

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Solution

The fourth proportional to 66,682.38, 91,978.32 and 42,771.18 is: 58,996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,682.38 : 91,978.32 = 42,771.18 : x
  2. Step 2: Convert to fraction form
    66,682.38/91,978.32 = 42,771.18/x
  3. Step 3: Cross multiply
    66,682.38x = 91,978.32 × 42,771.18
  4. Step 4: Simplify right side
    66,682.38x = 3,934,021,280.82
  5. Step 5: Solve for x
    x = 3,934,021,280.82/66,682.38
  6. Step 6: Final answer
    x = 58,996.41

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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.