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Finding the Fourth Proportional to 50,508.86, 69,702.69 and 27,848.64

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Solution

The fourth proportional to 50,508.86, 69,702.69 and 27,848.64 is: 38,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,508.86 : 69,702.69 = 27,848.64 : x
  2. Step 2: Convert to fraction form
    50,508.86/69,702.69 = 27,848.64/x
  3. Step 3: Cross multiply
    50,508.86x = 69,702.69 × 27,848.64
  4. Step 4: Simplify right side
    50,508.86x = 1,941,125,120.84
  5. Step 5: Solve for x
    x = 1,941,125,120.84/50,508.86
  6. Step 6: Final answer
    x = 38,431.38

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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.