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Finding the Fourth Proportional to 72,578.49, 108,867.75 and 22,662.86

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Solution

The fourth proportional to 72,578.49, 108,867.75 and 22,662.86 is: 33,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578.49 : 108,867.75 = 22,662.86 : x
  2. Step 2: Convert to fraction form
    72,578.49/108,867.75 = 22,662.86/x
  3. Step 3: Cross multiply
    72,578.49x = 108,867.75 × 22,662.86
  4. Step 4: Simplify right side
    72,578.49x = 2,467,254,848.93
  5. Step 5: Solve for x
    x = 2,467,254,848.93/72,578.49
  6. Step 6: Final answer
    x = 33,994.30

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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.