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Finding the Fourth Proportional to 100,593.14, 150,889.12 and 25,713.18

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Solution

The fourth proportional to 100,593.14, 150,889.12 and 25,713.18 is: 38,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,593.14 : 150,889.12 = 25,713.18 : x
  2. Step 2: Convert to fraction form
    100,593.14/150,889.12 = 25,713.18/x
  3. Step 3: Cross multiply
    100,593.14x = 150,889.12 × 25,713.18
  4. Step 4: Simplify right side
    100,593.14x = 3,879,839,038.32
  5. Step 5: Solve for x
    x = 3,879,839,038.32/100,593.14
  6. Step 6: Final answer
    x = 38,569.62

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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.