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Finding the Fourth Proportional to 100,683, 151,025.41 and 30,562.31

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Solution

The fourth proportional to 100,683, 151,025.41 and 30,562.31 is: 45,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683 : 151,025.41 = 30,562.31 : x
  2. Step 2: Convert to fraction form
    100,683/151,025.41 = 30,562.31/x
  3. Step 3: Cross multiply
    100,683x = 151,025.41 × 30,562.31
  4. Step 4: Simplify right side
    100,683x = 4,615,685,814.06
  5. Step 5: Solve for x
    x = 4,615,685,814.06/100,683
  6. Step 6: Final answer
    x = 45,843.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.