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Finding the Fourth Proportional to 47,787.84, 71,696.16 and 16,623

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Solution

The fourth proportional to 47,787.84, 71,696.16 and 16,623 is: 24,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,787.84 : 71,696.16 = 16,623 : x
  2. Step 2: Convert to fraction form
    47,787.84/71,696.16 = 16,623/x
  3. Step 3: Cross multiply
    47,787.84x = 71,696.16 × 16,623
  4. Step 4: Simplify right side
    47,787.84x = 1,191,805,267.68
  5. Step 5: Solve for x
    x = 1,191,805,267.68/47,787.84
  6. Step 6: Final answer
    x = 24,939.51

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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.