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Finding the Fourth Proportional to 56,675.74, 85,016.65 and 17,229.86

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Solution

The fourth proportional to 56,675.74, 85,016.65 and 17,229.86 is: 25,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,675.74 : 85,016.65 = 17,229.86 : x
  2. Step 2: Convert to fraction form
    56,675.74/85,016.65 = 17,229.86/x
  3. Step 3: Cross multiply
    56,675.74x = 85,016.65 × 17,229.86
  4. Step 4: Simplify right side
    56,675.74x = 1,464,824,509.01
  5. Step 5: Solve for x
    x = 1,464,824,509.01/56,675.74
  6. Step 6: Final answer
    x = 25,845.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.