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Finding the Fourth Proportional to 49,258.82, 67,980.63 and 28,038.09

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Solution

The fourth proportional to 49,258.82, 67,980.63 and 28,038.09 is: 38,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,258.82 : 67,980.63 = 28,038.09 : x
  2. Step 2: Convert to fraction form
    49,258.82/67,980.63 = 28,038.09/x
  3. Step 3: Cross multiply
    49,258.82x = 67,980.63 × 28,038.09
  4. Step 4: Simplify right side
    49,258.82x = 1,906,047,022.20
  5. Step 5: Solve for x
    x = 1,906,047,022.20/49,258.82
  6. Step 6: Final answer
    x = 38,694.54

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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.