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Finding the Fourth Proportional to 97,466.94, 134,496.87 and 55,029.66

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Solution

The fourth proportional to 97,466.94, 134,496.87 and 55,029.66 is: 75,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,466.94 : 134,496.87 = 55,029.66 : x
  2. Step 2: Convert to fraction form
    97,466.94/134,496.87 = 55,029.66/x
  3. Step 3: Cross multiply
    97,466.94x = 134,496.87 × 55,029.66
  4. Step 4: Simplify right side
    97,466.94x = 7,401,317,027.16
  5. Step 5: Solve for x
    x = 7,401,317,027.16/97,466.94
  6. Step 6: Final answer
    x = 75,936.69

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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.