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Finding the Fourth Proportional to 61,788.49, 85,268.22 and 33,494.24

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Solution

The fourth proportional to 61,788.49, 85,268.22 and 33,494.24 is: 46,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,788.49 : 85,268.22 = 33,494.24 : x
  2. Step 2: Convert to fraction form
    61,788.49/85,268.22 = 33,494.24/x
  3. Step 3: Cross multiply
    61,788.49x = 85,268.22 × 33,494.24
  4. Step 4: Simplify right side
    61,788.49x = 2,855,994,225.05
  5. Step 5: Solve for x
    x = 2,855,994,225.05/61,788.49
  6. Step 6: Final answer
    x = 46,222.11

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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.