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Finding the Fourth Proportional to 52,702.82, 72,760 and 34,849.62

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Solution

The fourth proportional to 52,702.82, 72,760 and 34,849.62 is: 48,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,702.82 : 72,760 = 34,849.62 : x
  2. Step 2: Convert to fraction form
    52,702.82/72,760 = 34,849.62/x
  3. Step 3: Cross multiply
    52,702.82x = 72,760 × 34,849.62
  4. Step 4: Simplify right side
    52,702.82x = 2,535,658,351.20
  5. Step 5: Solve for x
    x = 2,535,658,351.20/52,702.82
  6. Step 6: Final answer
    x = 48,112.38

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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.