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Finding the Fourth Proportional to 30,039.90, 41,463.73 and 19,838.39

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Solution

The fourth proportional to 30,039.90, 41,463.73 and 19,838.39 is: 27,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,039.90 : 41,463.73 = 19,838.39 : x
  2. Step 2: Convert to fraction form
    30,039.90/41,463.73 = 19,838.39/x
  3. Step 3: Cross multiply
    30,039.90x = 41,463.73 × 19,838.39
  4. Step 4: Simplify right side
    30,039.90x = 822,573,464.07
  5. Step 5: Solve for x
    x = 822,573,464.07/30,039.90
  6. Step 6: Final answer
    x = 27,382.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.