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Finding the Fourth Proportional to 100,625.52, 150,943.44 and 25,746.30

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Solution

The fourth proportional to 100,625.52, 150,943.44 and 25,746.30 is: 38,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,625.52 : 150,943.44 = 25,746.30 : x
  2. Step 2: Convert to fraction form
    100,625.52/150,943.44 = 25,746.30/x
  3. Step 3: Cross multiply
    100,625.52x = 150,943.44 × 25,746.30
  4. Step 4: Simplify right side
    100,625.52x = 3,886,235,089.27
  5. Step 5: Solve for x
    x = 3,886,235,089.27/100,625.52
  6. Step 6: Final answer
    x = 38,620.77

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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.