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Finding the Fourth Proportional to 100,684, 151,026.91 and 30,563.31

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Solution

The fourth proportional to 100,684, 151,026.91 and 30,563.31 is: 45,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,684 : 151,026.91 = 30,563.31 : x
  2. Step 2: Convert to fraction form
    100,684/151,026.91 = 30,563.31/x
  3. Step 3: Cross multiply
    100,684x = 151,026.91 × 30,563.31
  4. Step 4: Simplify right side
    100,684x = 4,615,882,268.67
  5. Step 5: Solve for x
    x = 4,615,882,268.67/100,684
  6. Step 6: Final answer
    x = 45,845.24

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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.