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Finding the Fourth Proportional to 75,320, 112,997.36 and 26,072

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Solution

The fourth proportional to 75,320, 112,997.36 and 26,072 is: 39,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,320 : 112,997.36 = 26,072 : x
  2. Step 2: Convert to fraction form
    75,320/112,997.36 = 26,072/x
  3. Step 3: Cross multiply
    75,320x = 112,997.36 × 26,072
  4. Step 4: Simplify right side
    75,320x = 2,946,067,169.92
  5. Step 5: Solve for x
    x = 2,946,067,169.92/75,320
  6. Step 6: Final answer
    x = 39,114.01

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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.