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Finding the Fourth Proportional to 50,578.49, 75,877.49 and 19,411.31

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Solution

The fourth proportional to 50,578.49, 75,877.49 and 19,411.31 is: 29,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,578.49 : 75,877.49 = 19,411.31 : x
  2. Step 2: Convert to fraction form
    50,578.49/75,877.49 = 19,411.31/x
  3. Step 3: Cross multiply
    50,578.49x = 75,877.49 × 19,411.31
  4. Step 4: Simplify right side
    50,578.49x = 1,472,881,718.63
  5. Step 5: Solve for x
    x = 1,472,881,718.63/50,578.49
  6. Step 6: Final answer
    x = 29,120.71

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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.