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Finding the Fourth Proportional to 72,543.76, 108,794.54 and 30,422.72

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Solution

The fourth proportional to 72,543.76, 108,794.54 and 30,422.72 is: 45,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,543.76 : 108,794.54 = 30,422.72 : x
  2. Step 2: Convert to fraction form
    72,543.76/108,794.54 = 30,422.72/x
  3. Step 3: Cross multiply
    72,543.76x = 108,794.54 × 30,422.72
  4. Step 4: Simplify right side
    72,543.76x = 3,309,825,827.95
  5. Step 5: Solve for x
    x = 3,309,825,827.95/72,543.76
  6. Step 6: Final answer
    x = 45,625.23

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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.