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Finding the Fourth Proportional to 78,397.46, 117,645.50 and 33,418.77

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Solution

The fourth proportional to 78,397.46, 117,645.50 and 33,418.77 is: 50,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,397.46 : 117,645.50 = 33,418.77 : x
  2. Step 2: Convert to fraction form
    78,397.46/117,645.50 = 33,418.77/x
  3. Step 3: Cross multiply
    78,397.46x = 117,645.50 × 33,418.77
  4. Step 4: Simplify right side
    78,397.46x = 3,931,567,906.04
  5. Step 5: Solve for x
    x = 3,931,567,906.04/78,397.46
  6. Step 6: Final answer
    x = 50,149.17

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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.