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Finding the Fourth Proportional to 72,467.20, 108,695.40 and 30,336.40

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Solution

The fourth proportional to 72,467.20, 108,695.40 and 30,336.40 is: 45,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,467.20 : 108,695.40 = 30,336.40 : x
  2. Step 2: Convert to fraction form
    72,467.20/108,695.40 = 30,336.40/x
  3. Step 3: Cross multiply
    72,467.20x = 108,695.40 × 30,336.40
  4. Step 4: Simplify right side
    72,467.20x = 3,297,427,132.56
  5. Step 5: Solve for x
    x = 3,297,427,132.56/72,467.20
  6. Step 6: Final answer
    x = 45,502.34

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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.