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Finding the Fourth Proportional to 33,537, 46,282.50 and 18,633

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Solution

The fourth proportional to 33,537, 46,282.50 and 18,633 is: 25,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537 : 46,282.50 = 18,633 : x
  2. Step 2: Convert to fraction form
    33,537/46,282.50 = 18,633/x
  3. Step 3: Cross multiply
    33,537x = 46,282.50 × 18,633
  4. Step 4: Simplify right side
    33,537x = 862,381,822.50
  5. Step 5: Solve for x
    x = 862,381,822.50/33,537
  6. Step 6: Final answer
    x = 25,714.34

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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.