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Finding the Fourth Proportional to 47,149.83, 70,723.87 and 19,069.56

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Solution

The fourth proportional to 47,149.83, 70,723.87 and 19,069.56 is: 28,603.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,149.83 : 70,723.87 = 19,069.56 : x
  2. Step 2: Convert to fraction form
    47,149.83/70,723.87 = 19,069.56/x
  3. Step 3: Cross multiply
    47,149.83x = 70,723.87 × 19,069.56
  4. Step 4: Simplify right side
    47,149.83x = 1,348,673,034.72
  5. Step 5: Solve for x
    x = 1,348,673,034.72/47,149.83
  6. Step 6: Final answer
    x = 28,603.99

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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.