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Finding the Fourth Proportional to 100,593.62, 150,906.10 and 30,456.26

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Solution

The fourth proportional to 100,593.62, 150,906.10 and 30,456.26 is: 45,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,593.62 : 150,906.10 = 30,456.26 : x
  2. Step 2: Convert to fraction form
    100,593.62/150,906.10 = 30,456.26/x
  3. Step 3: Cross multiply
    100,593.62x = 150,906.10 × 30,456.26
  4. Step 4: Simplify right side
    100,593.62x = 4,596,035,417.19
  5. Step 5: Solve for x
    x = 4,596,035,417.19/100,593.62
  6. Step 6: Final answer
    x = 45,689.13

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1.5x scale

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.