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Finding the Fourth Proportional to 100,846.68, 151,291.80 and 30,724.08

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Solution

The fourth proportional to 100,846.68, 151,291.80 and 30,724.08 is: 46,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,846.68 : 151,291.80 = 30,724.08 : x
  2. Step 2: Convert to fraction form
    100,846.68/151,291.80 = 30,724.08/x
  3. Step 3: Cross multiply
    100,846.68x = 151,291.80 × 30,724.08
  4. Step 4: Simplify right side
    100,846.68x = 4,648,301,366.54
  5. Step 5: Solve for x
    x = 4,648,301,366.54/100,846.68
  6. Step 6: Final answer
    x = 46,092.76

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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.