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Finding the Fourth Proportional to 78,335.40, 117,479.34 and 22,171.08

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Solution

The fourth proportional to 78,335.40, 117,479.34 and 22,171.08 is: 33,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,335.40 : 117,479.34 = 22,171.08 : x
  2. Step 2: Convert to fraction form
    78,335.40/117,479.34 = 22,171.08/x
  3. Step 3: Cross multiply
    78,335.40x = 117,479.34 × 22,171.08
  4. Step 4: Simplify right side
    78,335.40x = 2,604,643,845.49
  5. Step 5: Solve for x
    x = 2,604,643,845.49/78,335.40
  6. Step 6: Final answer
    x = 33,249.90

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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.