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Finding the Fourth Proportional to 73,509.86, 110,251.62 and 19,474.92

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Solution

The fourth proportional to 73,509.86, 110,251.62 and 19,474.92 is: 29,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,509.86 : 110,251.62 = 19,474.92 : x
  2. Step 2: Convert to fraction form
    73,509.86/110,251.62 = 19,474.92/x
  3. Step 3: Cross multiply
    73,509.86x = 110,251.62 × 19,474.92
  4. Step 4: Simplify right side
    73,509.86x = 2,147,141,479.37
  5. Step 5: Solve for x
    x = 2,147,141,479.37/73,509.86
  6. Step 6: Final answer
    x = 29,208.89

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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.