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Finding the Fourth Proportional to 100,292.66, 150,448.98 and 37,129.68

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Solution

The fourth proportional to 100,292.66, 150,448.98 and 37,129.68 is: 55,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,292.66 : 150,448.98 = 37,129.68 : x
  2. Step 2: Convert to fraction form
    100,292.66/150,448.98 = 37,129.68/x
  3. Step 3: Cross multiply
    100,292.66x = 150,448.98 × 37,129.68
  4. Step 4: Simplify right side
    100,292.66x = 5,586,122,483.73
  5. Step 5: Solve for x
    x = 5,586,122,483.73/100,292.66
  6. Step 6: Final answer
    x = 55,698.22

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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.