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Finding the Fourth Proportional to 125,968.50, 188,963.69 and 32,474.25

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Solution

The fourth proportional to 125,968.50, 188,963.69 and 32,474.25 is: 48,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,968.50 : 188,963.69 = 32,474.25 : x
  2. Step 2: Convert to fraction form
    125,968.50/188,963.69 = 32,474.25/x
  3. Step 3: Cross multiply
    125,968.50x = 188,963.69 × 32,474.25
  4. Step 4: Simplify right side
    125,968.50x = 6,136,453,947.61
  5. Step 5: Solve for x
    x = 6,136,453,947.61/125,968.50
  6. Step 6: Final answer
    x = 48,714.19

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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.