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Finding the Fourth Proportional to 122,702.62, 184,026.56 and 47,824.78

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Solution

The fourth proportional to 122,702.62, 184,026.56 and 47,824.78 is: 71,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,702.62 : 184,026.56 = 47,824.78 : x
  2. Step 2: Convert to fraction form
    122,702.62/184,026.56 = 47,824.78/x
  3. Step 3: Cross multiply
    122,702.62x = 184,026.56 × 47,824.78
  4. Step 4: Simplify right side
    122,702.62x = 8,801,029,746.16
  5. Step 5: Solve for x
    x = 8,801,029,746.16/122,702.62
  6. Step 6: Final answer
    x = 71,726.50

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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.