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Finding the Fourth Proportional to 47,321.86, 70,992.58 and 19,241.91

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Solution

The fourth proportional to 47,321.86, 70,992.58 and 19,241.91 is: 28,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,321.86 : 70,992.58 = 19,241.91 : x
  2. Step 2: Convert to fraction form
    47,321.86/70,992.58 = 19,241.91/x
  3. Step 3: Cross multiply
    47,321.86x = 70,992.58 × 19,241.91
  4. Step 4: Simplify right side
    47,321.86x = 1,366,032,738.82
  5. Step 5: Solve for x
    x = 1,366,032,738.82/47,321.86
  6. Step 6: Final answer
    x = 28,866.85

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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.