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Finding the Fourth Proportional to 100,609.66, 150,897.74 and 30,472.30

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Solution

The fourth proportional to 100,609.66, 150,897.74 and 30,472.30 is: 45,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,609.66 : 150,897.74 = 30,472.30 : x
  2. Step 2: Convert to fraction form
    100,609.66/150,897.74 = 30,472.30/x
  3. Step 3: Cross multiply
    100,609.66x = 150,897.74 × 30,472.30
  4. Step 4: Simplify right side
    100,609.66x = 4,598,201,202.60
  5. Step 5: Solve for x
    x = 4,598,201,202.60/100,609.66
  6. Step 6: Final answer
    x = 45,703.38

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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.