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Finding the Fourth Proportional to 100,593.16, 150,890 and 30,473.08

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Solution

The fourth proportional to 100,593.16, 150,890 and 30,473.08 is: 45,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,593.16 : 150,890 = 30,473.08 : x
  2. Step 2: Convert to fraction form
    100,593.16/150,890 = 30,473.08/x
  3. Step 3: Cross multiply
    100,593.16x = 150,890 × 30,473.08
  4. Step 4: Simplify right side
    100,593.16x = 4,598,083,041.20
  5. Step 5: Solve for x
    x = 4,598,083,041.20/100,593.16
  6. Step 6: Final answer
    x = 45,709.70

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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.