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Finding the Fourth Proportional to 115,901.44, 173,843.52 and 37,024

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Solution

The fourth proportional to 115,901.44, 173,843.52 and 37,024 is: 55,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,901.44 : 173,843.52 = 37,024 : x
  2. Step 2: Convert to fraction form
    115,901.44/173,843.52 = 37,024/x
  3. Step 3: Cross multiply
    115,901.44x = 173,843.52 × 37,024
  4. Step 4: Simplify right side
    115,901.44x = 6,436,382,484.48
  5. Step 5: Solve for x
    x = 6,436,382,484.48/115,901.44
  6. Step 6: Final answer
    x = 55,533.24

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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.