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Finding the Fourth Proportional to 50,477.97, 75,718.17 and 24,153.78

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Solution

The fourth proportional to 50,477.97, 75,718.17 and 24,153.78 is: 36,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,477.97 : 75,718.17 = 24,153.78 : x
  2. Step 2: Convert to fraction form
    50,477.97/75,718.17 = 24,153.78/x
  3. Step 3: Cross multiply
    50,477.97x = 75,718.17 × 24,153.78
  4. Step 4: Simplify right side
    50,477.97x = 1,828,880,020.18
  5. Step 5: Solve for x
    x = 1,828,880,020.18/50,477.97
  6. Step 6: Final answer
    x = 36,231.25

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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.