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Finding the Fourth Proportional to 47,978.42, 66,212.84 and 26,757.59

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Solution

The fourth proportional to 47,978.42, 66,212.84 and 26,757.59 is: 36,926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.42 : 66,212.84 = 26,757.59 : x
  2. Step 2: Convert to fraction form
    47,978.42/66,212.84 = 26,757.59/x
  3. Step 3: Cross multiply
    47,978.42x = 66,212.84 × 26,757.59
  4. Step 4: Simplify right side
    47,978.42x = 1,771,695,891.67
  5. Step 5: Solve for x
    x = 1,771,695,891.67/47,978.42
  6. Step 6: Final answer
    x = 36,926.93

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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.