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Finding the Fourth Proportional to 110,144.52, 165,216.95 and 27,038.52

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Solution

The fourth proportional to 110,144.52, 165,216.95 and 27,038.52 is: 40,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,144.52 : 165,216.95 = 27,038.52 : x
  2. Step 2: Convert to fraction form
    110,144.52/165,216.95 = 27,038.52/x
  3. Step 3: Cross multiply
    110,144.52x = 165,216.95 × 27,038.52
  4. Step 4: Simplify right side
    110,144.52x = 4,467,221,671.72
  5. Step 5: Solve for x
    x = 4,467,221,671.72/110,144.52
  6. Step 6: Final answer
    x = 40,557.82

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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.