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Finding the Fourth Proportional to 55,957.18, 77,221.20 and 30,806.68

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Solution

The fourth proportional to 55,957.18, 77,221.20 and 30,806.68 is: 42,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,957.18 : 77,221.20 = 30,806.68 : x
  2. Step 2: Convert to fraction form
    55,957.18/77,221.20 = 30,806.68/x
  3. Step 3: Cross multiply
    55,957.18x = 77,221.20 × 30,806.68
  4. Step 4: Simplify right side
    55,957.18x = 2,378,928,797.62
  5. Step 5: Solve for x
    x = 2,378,928,797.62/55,957.18
  6. Step 6: Final answer
    x = 42,513.38

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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.