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Finding the Fourth Proportional to 97,367.20, 146,065.20 and 30,813.28

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Solution

The fourth proportional to 97,367.20, 146,065.20 and 30,813.28 is: 46,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,367.20 : 146,065.20 = 30,813.28 : x
  2. Step 2: Convert to fraction form
    97,367.20/146,065.20 = 30,813.28/x
  3. Step 3: Cross multiply
    97,367.20x = 146,065.20 × 30,813.28
  4. Step 4: Simplify right side
    97,367.20x = 4,500,747,905.86
  5. Step 5: Solve for x
    x = 4,500,747,905.86/97,367.20
  6. Step 6: Final answer
    x = 46,224.48

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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.