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Finding the Fourth Proportional to 78,264.14, 117,385.84 and 22,109.35

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Solution

The fourth proportional to 78,264.14, 117,385.84 and 22,109.35 is: 33,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,264.14 : 117,385.84 = 22,109.35 : x
  2. Step 2: Convert to fraction form
    78,264.14/117,385.84 = 22,109.35/x
  3. Step 3: Cross multiply
    78,264.14x = 117,385.84 × 22,109.35
  4. Step 4: Simplify right side
    78,264.14x = 2,595,324,858.50
  5. Step 5: Solve for x
    x = 2,595,324,858.50/78,264.14
  6. Step 6: Final answer
    x = 33,161.10

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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.