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Finding the Fourth Proportional to 55,358.20, 83,037.30 and 31,957.30

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Solution

The fourth proportional to 55,358.20, 83,037.30 and 31,957.30 is: 47,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,358.20 : 83,037.30 = 31,957.30 : x
  2. Step 2: Convert to fraction form
    55,358.20/83,037.30 = 31,957.30/x
  3. Step 3: Cross multiply
    55,358.20x = 83,037.30 × 31,957.30
  4. Step 4: Simplify right side
    55,358.20x = 2,653,647,907.29
  5. Step 5: Solve for x
    x = 2,653,647,907.29/55,358.20
  6. Step 6: Final answer
    x = 47,935.95

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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.