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Finding the Fourth Proportional to 100,705.14, 150,921.50 and 38,341.62

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Solution

The fourth proportional to 100,705.14, 150,921.50 and 38,341.62 is: 57,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,705.14 : 150,921.50 = 38,341.62 : x
  2. Step 2: Convert to fraction form
    100,705.14/150,921.50 = 38,341.62/x
  3. Step 3: Cross multiply
    100,705.14x = 150,921.50 × 38,341.62
  4. Step 4: Simplify right side
    100,705.14x = 5,786,574,611.12
  5. Step 5: Solve for x
    x = 5,786,574,611.12/100,705.14
  6. Step 6: Final answer
    x = 57,460.57

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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.