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Finding the Fourth Proportional to 72,137.52, 108,196.18 and 24,751.84

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Solution

The fourth proportional to 72,137.52, 108,196.18 and 24,751.84 is: 37,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,137.52 : 108,196.18 = 24,751.84 : x
  2. Step 2: Convert to fraction form
    72,137.52/108,196.18 = 24,751.84/x
  3. Step 3: Cross multiply
    72,137.52x = 108,196.18 × 24,751.84
  4. Step 4: Simplify right side
    72,137.52x = 2,678,054,535.97
  5. Step 5: Solve for x
    x = 2,678,054,535.97/72,137.52
  6. Step 6: Final answer
    x = 37,124.29

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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.