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Finding the Fourth Proportional to 50,409.95, 75,571.18 and 25,429.14

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Solution

The fourth proportional to 50,409.95, 75,571.18 and 25,429.14 is: 38,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,409.95 : 75,571.18 = 25,429.14 : x
  2. Step 2: Convert to fraction form
    50,409.95/75,571.18 = 25,429.14/x
  3. Step 3: Cross multiply
    50,409.95x = 75,571.18 × 25,429.14
  4. Step 4: Simplify right side
    50,409.95x = 1,921,710,336.90
  5. Step 5: Solve for x
    x = 1,921,710,336.90/50,409.95
  6. Step 6: Final answer
    x = 38,121.65

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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.