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Finding the Fourth Proportional to 26,089.76, 35,976.80 and 22,325.38

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Solution

The fourth proportional to 26,089.76, 35,976.80 and 22,325.38 is: 30,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,089.76 : 35,976.80 = 22,325.38 : x
  2. Step 2: Convert to fraction form
    26,089.76/35,976.80 = 22,325.38/x
  3. Step 3: Cross multiply
    26,089.76x = 35,976.80 × 22,325.38
  4. Step 4: Simplify right side
    26,089.76x = 803,195,731.18
  5. Step 5: Solve for x
    x = 803,195,731.18/26,089.76
  6. Step 6: Final answer
    x = 30,785.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.