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Finding the Fourth Proportional to 105,195.42, 157,759.05 and 35,055.90

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Solution

The fourth proportional to 105,195.42, 157,759.05 and 35,055.90 is: 52,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,195.42 : 157,759.05 = 35,055.90 : x
  2. Step 2: Convert to fraction form
    105,195.42/157,759.05 = 35,055.90/x
  3. Step 3: Cross multiply
    105,195.42x = 157,759.05 × 35,055.90
  4. Step 4: Simplify right side
    105,195.42x = 5,530,385,480.90
  5. Step 5: Solve for x
    x = 5,530,385,480.90/105,195.42
  6. Step 6: Final answer
    x = 52,572.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.