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Finding the Fourth Proportional to 78,334.90, 117,478.59 and 22,170.58

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Solution

The fourth proportional to 78,334.90, 117,478.59 and 22,170.58 is: 33,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,334.90 : 117,478.59 = 22,170.58 : x
  2. Step 2: Convert to fraction form
    78,334.90/117,478.59 = 22,170.58/x
  3. Step 3: Cross multiply
    78,334.90x = 117,478.59 × 22,170.58
  4. Step 4: Simplify right side
    78,334.90x = 2,604,568,477.88
  5. Step 5: Solve for x
    x = 2,604,568,477.88/78,334.90
  6. Step 6: Final answer
    x = 33,249.15

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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.