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Finding the Fourth Proportional to 49,571.84, 74,352.32 and 14,511.84

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Solution

The fourth proportional to 49,571.84, 74,352.32 and 14,511.84 is: 21,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,571.84 : 74,352.32 = 14,511.84 : x
  2. Step 2: Convert to fraction form
    49,571.84/74,352.32 = 14,511.84/x
  3. Step 3: Cross multiply
    49,571.84x = 74,352.32 × 14,511.84
  4. Step 4: Simplify right side
    49,571.84x = 1,078,988,971.47
  5. Step 5: Solve for x
    x = 1,078,988,971.47/49,571.84
  6. Step 6: Final answer
    x = 21,766.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.