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Finding the Fourth Proportional to 97,188.59, 145,722.74 and 37,954.61

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Solution

The fourth proportional to 97,188.59, 145,722.74 and 37,954.61 is: 56,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,188.59 : 145,722.74 = 37,954.61 : x
  2. Step 2: Convert to fraction form
    97,188.59/145,722.74 = 37,954.61/x
  3. Step 3: Cross multiply
    97,188.59x = 145,722.74 × 37,954.61
  4. Step 4: Simplify right side
    97,188.59x = 5,530,848,846.44
  5. Step 5: Solve for x
    x = 5,530,848,846.44/97,188.59
  6. Step 6: Final answer
    x = 56,908.42

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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.