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Finding the Fourth Proportional to 78,125.27, 117,194.82 and 21,965.87

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Solution

The fourth proportional to 78,125.27, 117,194.82 and 21,965.87 is: 32,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,125.27 : 117,194.82 = 21,965.87 : x
  2. Step 2: Convert to fraction form
    78,125.27/117,194.82 = 21,965.87/x
  3. Step 3: Cross multiply
    78,125.27x = 117,194.82 × 21,965.87
  4. Step 4: Simplify right side
    78,125.27x = 2,574,285,594.82
  5. Step 5: Solve for x
    x = 2,574,285,594.82/78,125.27
  6. Step 6: Final answer
    x = 32,950.74

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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.