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Finding the Fourth Proportional to 72,073, 108,109.98 and 22,825

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Solution

The fourth proportional to 72,073, 108,109.98 and 22,825 is: 34,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,073 : 108,109.98 = 22,825 : x
  2. Step 2: Convert to fraction form
    72,073/108,109.98 = 22,825/x
  3. Step 3: Cross multiply
    72,073x = 108,109.98 × 22,825
  4. Step 4: Simplify right side
    72,073x = 2,467,610,293.50
  5. Step 5: Solve for x
    x = 2,467,610,293.50/72,073
  6. Step 6: Final answer
    x = 34,237.65

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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.