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Finding the Fourth Proportional to 33,970.72, 46,880.38 and 18,863

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Solution

The fourth proportional to 33,970.72, 46,880.38 and 18,863 is: 26,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970.72 : 46,880.38 = 18,863 : x
  2. Step 2: Convert to fraction form
    33,970.72/46,880.38 = 18,863/x
  3. Step 3: Cross multiply
    33,970.72x = 46,880.38 × 18,863
  4. Step 4: Simplify right side
    33,970.72x = 884,304,607.94
  5. Step 5: Solve for x
    x = 884,304,607.94/33,970.72
  6. Step 6: Final answer
    x = 26,031.38

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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.