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Finding the Fourth Proportional to 49,930.64, 68,904.64 and 27,574.64

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Solution

The fourth proportional to 49,930.64, 68,904.64 and 27,574.64 is: 38,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,930.64 : 68,904.64 = 27,574.64 : x
  2. Step 2: Convert to fraction form
    49,930.64/68,904.64 = 27,574.64/x
  3. Step 3: Cross multiply
    49,930.64x = 68,904.64 × 27,574.64
  4. Step 4: Simplify right side
    49,930.64x = 1,900,020,642.33
  5. Step 5: Solve for x
    x = 1,900,020,642.33/49,930.64
  6. Step 6: Final answer
    x = 38,053.20

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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.