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Finding the Fourth Proportional to 105,657.90, 158,387.58 and 35,487.96

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Solution

The fourth proportional to 105,657.90, 158,387.58 and 35,487.96 is: 53,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,657.90 : 158,387.58 = 35,487.96 : x
  2. Step 2: Convert to fraction form
    105,657.90/158,387.58 = 35,487.96/x
  3. Step 3: Cross multiply
    105,657.90x = 158,387.58 × 35,487.96
  4. Step 4: Simplify right side
    105,657.90x = 5,620,852,103.54
  5. Step 5: Solve for x
    x = 5,620,852,103.54/105,657.90
  6. Step 6: Final answer
    x = 53,198.60

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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.