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Finding the Fourth Proportional to 101,814.72, 152,744.04 and 30,731.46

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Solution

The fourth proportional to 101,814.72, 152,744.04 and 30,731.46 is: 46,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,814.72 : 152,744.04 = 30,731.46 : x
  2. Step 2: Convert to fraction form
    101,814.72/152,744.04 = 30,731.46/x
  3. Step 3: Cross multiply
    101,814.72x = 152,744.04 × 30,731.46
  4. Step 4: Simplify right side
    101,814.72x = 4,694,047,355.50
  5. Step 5: Solve for x
    x = 4,694,047,355.50/101,814.72
  6. Step 6: Final answer
    x = 46,103.82

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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.