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Finding the Fourth Proportional to 50,384.79, 75,411.09 and 27,860.82

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Solution

The fourth proportional to 50,384.79, 75,411.09 and 27,860.82 is: 41,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,384.79 : 75,411.09 = 27,860.82 : x
  2. Step 2: Convert to fraction form
    50,384.79/75,411.09 = 27,860.82/x
  3. Step 3: Cross multiply
    50,384.79x = 75,411.09 × 27,860.82
  4. Step 4: Simplify right side
    50,384.79x = 2,101,014,804.49
  5. Step 5: Solve for x
    x = 2,101,014,804.49/50,384.79
  6. Step 6: Final answer
    x = 41,699.39

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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.