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Finding the Fourth Proportional to 118,551.96, 177,815.34 and 39,657.24

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Solution

The fourth proportional to 118,551.96, 177,815.34 and 39,657.24 is: 59,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,551.96 : 177,815.34 = 39,657.24 : x
  2. Step 2: Convert to fraction form
    118,551.96/177,815.34 = 39,657.24/x
  3. Step 3: Cross multiply
    118,551.96x = 177,815.34 × 39,657.24
  4. Step 4: Simplify right side
    118,551.96x = 7,051,665,614.06
  5. Step 5: Solve for x
    x = 7,051,665,614.06/118,551.96
  6. Step 6: Final answer
    x = 59,481.65

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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.