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Finding the Fourth Proportional to 33,637, 46,420.50 and 18,733

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Solution

The fourth proportional to 33,637, 46,420.50 and 18,733 is: 25,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,637 : 46,420.50 = 18,733 : x
  2. Step 2: Convert to fraction form
    33,637/46,420.50 = 18,733/x
  3. Step 3: Cross multiply
    33,637x = 46,420.50 × 18,733
  4. Step 4: Simplify right side
    33,637x = 869,595,226.50
  5. Step 5: Solve for x
    x = 869,595,226.50/33,637
  6. Step 6: Final answer
    x = 25,852.34

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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.