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Finding the Fourth Proportional to 33,643, 50,463.54 and 10,266.04

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Solution

The fourth proportional to 33,643, 50,463.54 and 10,266.04 is: 15,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643 : 50,463.54 = 10,266.04 : x
  2. Step 2: Convert to fraction form
    33,643/50,463.54 = 10,266.04/x
  3. Step 3: Cross multiply
    33,643x = 50,463.54 × 10,266.04
  4. Step 4: Simplify right side
    33,643x = 518,060,720.18
  5. Step 5: Solve for x
    x = 518,060,720.18/33,643
  6. Step 6: Final answer
    x = 15,398.77

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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.