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Finding the Fourth Proportional to 115,237, 172,884.66 and 32,131

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Solution

The fourth proportional to 115,237, 172,884.66 and 32,131 is: 48,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,237 : 172,884.66 = 32,131 : x
  2. Step 2: Convert to fraction form
    115,237/172,884.66 = 32,131/x
  3. Step 3: Cross multiply
    115,237x = 172,884.66 × 32,131
  4. Step 4: Simplify right side
    115,237x = 5,554,957,010.46
  5. Step 5: Solve for x
    x = 5,554,957,010.46/115,237
  6. Step 6: Final answer
    x = 48,204.63

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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.