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Finding the Fourth Proportional to 131,043.25, 196,564.88 and 37,549

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Solution

The fourth proportional to 131,043.25, 196,564.88 and 37,549 is: 56,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,043.25 : 196,564.88 = 37,549 : x
  2. Step 2: Convert to fraction form
    131,043.25/196,564.88 = 37,549/x
  3. Step 3: Cross multiply
    131,043.25x = 196,564.88 × 37,549
  4. Step 4: Simplify right side
    131,043.25x = 7,380,814,679.12
  5. Step 5: Solve for x
    x = 7,380,814,679.12/131,043.25
  6. Step 6: Final answer
    x = 56,323.50

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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.