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Finding the Fourth Proportional to 97,843.63, 135,024.74 and 55,410.43

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Solution

The fourth proportional to 97,843.63, 135,024.74 and 55,410.43 is: 76,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,843.63 : 135,024.74 = 55,410.43 : x
  2. Step 2: Convert to fraction form
    97,843.63/135,024.74 = 55,410.43/x
  3. Step 3: Cross multiply
    97,843.63x = 135,024.74 × 55,410.43
  4. Step 4: Simplify right side
    97,843.63x = 7,481,778,904.04
  5. Step 5: Solve for x
    x = 7,481,778,904.04/97,843.63
  6. Step 6: Final answer
    x = 76,466.69

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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.