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Finding the Fourth Proportional to 100,576.50, 150,864.75 and 25,696.81

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Solution

The fourth proportional to 100,576.50, 150,864.75 and 25,696.81 is: 38,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,576.50 : 150,864.75 = 25,696.81 : x
  2. Step 2: Convert to fraction form
    100,576.50/150,864.75 = 25,696.81/x
  3. Step 3: Cross multiply
    100,576.50x = 150,864.75 × 25,696.81
  4. Step 4: Simplify right side
    100,576.50x = 3,876,742,816.45
  5. Step 5: Solve for x
    x = 3,876,742,816.45/100,576.50
  6. Step 6: Final answer
    x = 38,545.22

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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.