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Finding the Fourth Proportional to 106,101.42, 159,118.37 and 35,010.80

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Solution

The fourth proportional to 106,101.42, 159,118.37 and 35,010.80 is: 52,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,101.42 : 159,118.37 = 35,010.80 : x
  2. Step 2: Convert to fraction form
    106,101.42/159,118.37 = 35,010.80/x
  3. Step 3: Cross multiply
    106,101.42x = 159,118.37 × 35,010.80
  4. Step 4: Simplify right side
    106,101.42x = 5,570,861,253.34
  5. Step 5: Solve for x
    x = 5,570,861,253.34/106,101.42
  6. Step 6: Final answer
    x = 52,505.06

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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.