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Finding the Fourth Proportional to 55,297.92, 82,981.28 and 22,465.92

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Solution

The fourth proportional to 55,297.92, 82,981.28 and 22,465.92 is: 33,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,297.92 : 82,981.28 = 22,465.92 : x
  2. Step 2: Convert to fraction form
    55,297.92/82,981.28 = 22,465.92/x
  3. Step 3: Cross multiply
    55,297.92x = 82,981.28 × 22,465.92
  4. Step 4: Simplify right side
    55,297.92x = 1,864,250,797.98
  5. Step 5: Solve for x
    x = 1,864,250,797.98/55,297.92
  6. Step 6: Final answer
    x = 33,712.86

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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.