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Finding the Fourth Proportional to 78,124.87, 117,194.23 and 21,965.47

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Solution

The fourth proportional to 78,124.87, 117,194.23 and 21,965.47 is: 32,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,124.87 : 117,194.23 = 21,965.47 : x
  2. Step 2: Convert to fraction form
    78,124.87/117,194.23 = 21,965.47/x
  3. Step 3: Cross multiply
    78,124.87x = 117,194.23 × 21,965.47
  4. Step 4: Simplify right side
    78,124.87x = 2,574,225,954.15
  5. Step 5: Solve for x
    x = 2,574,225,954.15/78,124.87
  6. Step 6: Final answer
    x = 32,950.15

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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.