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Finding the Fourth Proportional to 115,269, 172,903.50 and 32,163

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Solution

The fourth proportional to 115,269, 172,903.50 and 32,163 is: 48,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,269 : 172,903.50 = 32,163 : x
  2. Step 2: Convert to fraction form
    115,269/172,903.50 = 32,163/x
  3. Step 3: Cross multiply
    115,269x = 172,903.50 × 32,163
  4. Step 4: Simplify right side
    115,269x = 5,561,095,270.50
  5. Step 5: Solve for x
    x = 5,561,095,270.50/115,269
  6. Step 6: Final answer
    x = 48,244.50

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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.