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Finding the Fourth Proportional to 100,596.47, 150,894.11 and 25,716.50

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Solution

The fourth proportional to 100,596.47, 150,894.11 and 25,716.50 is: 38,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596.47 : 150,894.11 = 25,716.50 : x
  2. Step 2: Convert to fraction form
    100,596.47/150,894.11 = 25,716.50/x
  3. Step 3: Cross multiply
    100,596.47x = 150,894.11 × 25,716.50
  4. Step 4: Simplify right side
    100,596.47x = 3,880,467,496.76
  5. Step 5: Solve for x
    x = 3,880,467,496.76/100,596.47
  6. Step 6: Final answer
    x = 38,574.59

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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.