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Finding the Fourth Proportional to 56,566.62, 78,064.97 and 33,909.30

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Solution

The fourth proportional to 56,566.62, 78,064.97 and 33,909.30 is: 46,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,566.62 : 78,064.97 = 33,909.30 : x
  2. Step 2: Convert to fraction form
    56,566.62/78,064.97 = 33,909.30/x
  3. Step 3: Cross multiply
    56,566.62x = 78,064.97 × 33,909.30
  4. Step 4: Simplify right side
    56,566.62x = 2,647,128,317.67
  5. Step 5: Solve for x
    x = 2,647,128,317.67/56,566.62
  6. Step 6: Final answer
    x = 46,796.65

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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.