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Finding the Fourth Proportional to 115,244, 172,895.16 and 32,138

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Solution

The fourth proportional to 115,244, 172,895.16 and 32,138 is: 48,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,244 : 172,895.16 = 32,138 : x
  2. Step 2: Convert to fraction form
    115,244/172,895.16 = 32,138/x
  3. Step 3: Cross multiply
    115,244x = 172,895.16 × 32,138
  4. Step 4: Simplify right side
    115,244x = 5,556,504,652.08
  5. Step 5: Solve for x
    x = 5,556,504,652.08/115,244
  6. Step 6: Final answer
    x = 48,215.13

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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.