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Finding the Fourth Proportional to 49,252.87, 67,971.59 and 28,038.97

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Solution

The fourth proportional to 49,252.87, 67,971.59 and 28,038.97 is: 38,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,252.87 : 67,971.59 = 28,038.97 : x
  2. Step 2: Convert to fraction form
    49,252.87/67,971.59 = 28,038.97/x
  3. Step 3: Cross multiply
    49,252.87x = 67,971.59 × 28,038.97
  4. Step 4: Simplify right side
    49,252.87x = 1,905,853,372.86
  5. Step 5: Solve for x
    x = 1,905,853,372.86/49,252.87
  6. Step 6: Final answer
    x = 38,695.28

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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.