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Finding the Fourth Proportional to 73,675.86, 110,529.54 and 23,758.80

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Solution

The fourth proportional to 73,675.86, 110,529.54 and 23,758.80 is: 35,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,675.86 : 110,529.54 = 23,758.80 : x
  2. Step 2: Convert to fraction form
    73,675.86/110,529.54 = 23,758.80/x
  3. Step 3: Cross multiply
    73,675.86x = 110,529.54 × 23,758.80
  4. Step 4: Simplify right side
    73,675.86x = 2,626,049,234.95
  5. Step 5: Solve for x
    x = 2,626,049,234.95/73,675.86
  6. Step 6: Final answer
    x = 35,643.28

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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.