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Finding the Fourth Proportional to 33,633.96, 46,410.02 and 19,484.20

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Solution

The fourth proportional to 33,633.96, 46,410.02 and 19,484.20 is: 26,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.96 : 46,410.02 = 19,484.20 : x
  2. Step 2: Convert to fraction form
    33,633.96/46,410.02 = 19,484.20/x
  3. Step 3: Cross multiply
    33,633.96x = 46,410.02 × 19,484.20
  4. Step 4: Simplify right side
    33,633.96x = 904,262,111.68
  5. Step 5: Solve for x
    x = 904,262,111.68/33,633.96
  6. Step 6: Final answer
    x = 26,885.39

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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.