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Finding the Fourth Proportional to 78,740.56, 118,093.34 and 22,580.42

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Solution

The fourth proportional to 78,740.56, 118,093.34 and 22,580.42 is: 33,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,740.56 : 118,093.34 = 22,580.42 : x
  2. Step 2: Convert to fraction form
    78,740.56/118,093.34 = 22,580.42/x
  3. Step 3: Cross multiply
    78,740.56x = 118,093.34 × 22,580.42
  4. Step 4: Simplify right side
    78,740.56x = 2,666,597,346.66
  5. Step 5: Solve for x
    x = 2,666,597,346.66/78,740.56
  6. Step 6: Final answer
    x = 33,865.62

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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.