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Finding the Fourth Proportional to 115,197, 172,805.40 and 32,091

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Solution

The fourth proportional to 115,197, 172,805.40 and 32,091 is: 48,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,197 : 172,805.40 = 32,091 : x
  2. Step 2: Convert to fraction form
    115,197/172,805.40 = 32,091/x
  3. Step 3: Cross multiply
    115,197x = 172,805.40 × 32,091
  4. Step 4: Simplify right side
    115,197x = 5,545,498,091.40
  5. Step 5: Solve for x
    x = 5,545,498,091.40/115,197
  6. Step 6: Final answer
    x = 48,139.26

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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.