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Finding the Fourth Proportional to 95,134.88, 142,702.32 and 39,692

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Solution

The fourth proportional to 95,134.88, 142,702.32 and 39,692 is: 59,538

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,134.88 : 142,702.32 = 39,692 : x
  2. Step 2: Convert to fraction form
    95,134.88/142,702.32 = 39,692/x
  3. Step 3: Cross multiply
    95,134.88x = 142,702.32 × 39,692
  4. Step 4: Simplify right side
    95,134.88x = 5,664,140,485.44
  5. Step 5: Solve for x
    x = 5,664,140,485.44/95,134.88
  6. Step 6: Final answer
    x = 59,538

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.