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Finding the Fourth Proportional to 107,722.45, 161,657.49 and 37,601.77

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Solution

The fourth proportional to 107,722.45, 161,657.49 and 37,601.77 is: 56,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,722.45 : 161,657.49 = 37,601.77 : x
  2. Step 2: Convert to fraction form
    107,722.45/161,657.49 = 37,601.77/x
  3. Step 3: Cross multiply
    107,722.45x = 161,657.49 × 37,601.77
  4. Step 4: Simplify right side
    107,722.45x = 6,078,607,757.76
  5. Step 5: Solve for x
    x = 6,078,607,757.76/107,722.45
  6. Step 6: Final answer
    x = 56,428.42

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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.