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Finding the Fourth Proportional to 100,786.56, 151,048.32 and 41,554.56

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Solution

The fourth proportional to 100,786.56, 151,048.32 and 41,554.56 is: 62,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,786.56 : 151,048.32 = 41,554.56 : x
  2. Step 2: Convert to fraction form
    100,786.56/151,048.32 = 41,554.56/x
  3. Step 3: Cross multiply
    100,786.56x = 151,048.32 × 41,554.56
  4. Step 4: Simplify right side
    100,786.56x = 6,276,746,476.34
  5. Step 5: Solve for x
    x = 6,276,746,476.34/100,786.56
  6. Step 6: Final answer
    x = 62,277.61

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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.