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Finding the Fourth Proportional to 78,349.14, 117,528.71 and 22,193.70

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Solution

The fourth proportional to 78,349.14, 117,528.71 and 22,193.70 is: 33,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,349.14 : 117,528.71 = 22,193.70 : x
  2. Step 2: Convert to fraction form
    78,349.14/117,528.71 = 22,193.70/x
  3. Step 3: Cross multiply
    78,349.14x = 117,528.71 × 22,193.70
  4. Step 4: Simplify right side
    78,349.14x = 2,608,396,820.16
  5. Step 5: Solve for x
    x = 2,608,396,820.16/78,349.14
  6. Step 6: Final answer
    x = 33,291.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.