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Finding the Fourth Proportional to 97,480.70, 146,221.08 and 35,151.20

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Solution

The fourth proportional to 97,480.70, 146,221.08 and 35,151.20 is: 52,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,480.70 : 146,221.08 = 35,151.20 : x
  2. Step 2: Convert to fraction form
    97,480.70/146,221.08 = 35,151.20/x
  3. Step 3: Cross multiply
    97,480.70x = 146,221.08 × 35,151.20
  4. Step 4: Simplify right side
    97,480.70x = 5,139,846,427.30
  5. Step 5: Solve for x
    x = 5,139,846,427.30/97,480.70
  6. Step 6: Final answer
    x = 52,726.81

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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.