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Finding the Fourth Proportional to 115,250, 172,904.20 and 32,144

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Solution

The fourth proportional to 115,250, 172,904.20 and 32,144 is: 48,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,250 : 172,904.20 = 32,144 : x
  2. Step 2: Convert to fraction form
    115,250/172,904.20 = 32,144/x
  3. Step 3: Cross multiply
    115,250x = 172,904.20 × 32,144
  4. Step 4: Simplify right side
    115,250x = 5,557,832,604.80
  5. Step 5: Solve for x
    x = 5,557,832,604.80/115,250
  6. Step 6: Final answer
    x = 48,224.14

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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.