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Finding the Fourth Proportional to 61,145.60, 84,376.44 and 33,919.64

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Solution

The fourth proportional to 61,145.60, 84,376.44 and 33,919.64 is: 46,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,145.60 : 84,376.44 = 33,919.64 : x
  2. Step 2: Convert to fraction form
    61,145.60/84,376.44 = 33,919.64/x
  3. Step 3: Cross multiply
    61,145.60x = 84,376.44 × 33,919.64
  4. Step 4: Simplify right side
    61,145.60x = 2,862,018,469.28
  5. Step 5: Solve for x
    x = 2,862,018,469.28/61,145.60
  6. Step 6: Final answer
    x = 46,806.61

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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.