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Finding the Fourth Proportional to 50,473.14, 75,717.81 and 15,409.86

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Solution

The fourth proportional to 50,473.14, 75,717.81 and 15,409.86 is: 23,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,473.14 : 75,717.81 = 15,409.86 : x
  2. Step 2: Convert to fraction form
    50,473.14/75,717.81 = 15,409.86/x
  3. Step 3: Cross multiply
    50,473.14x = 75,717.81 × 15,409.86
  4. Step 4: Simplify right side
    50,473.14x = 1,166,800,851.61
  5. Step 5: Solve for x
    x = 1,166,800,851.61/50,473.14
  6. Step 6: Final answer
    x = 23,117.26

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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.