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Finding the Fourth Proportional to 100,710.36, 151,068.96 and 30,589.56

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Solution

The fourth proportional to 100,710.36, 151,068.96 and 30,589.56 is: 45,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,710.36 : 151,068.96 = 30,589.56 : x
  2. Step 2: Convert to fraction form
    100,710.36/151,068.96 = 30,589.56/x
  3. Step 3: Cross multiply
    100,710.36x = 151,068.96 × 30,589.56
  4. Step 4: Simplify right side
    100,710.36x = 4,621,133,016.06
  5. Step 5: Solve for x
    x = 4,621,133,016.06/100,710.36
  6. Step 6: Final answer
    x = 45,885.38

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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.