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Finding the Fourth Proportional to 97,462.95, 134,498.87 and 55,024.21

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Solution

The fourth proportional to 97,462.95, 134,498.87 and 55,024.21 is: 75,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,462.95 : 134,498.87 = 55,024.21 : x
  2. Step 2: Convert to fraction form
    97,462.95/134,498.87 = 55,024.21/x
  3. Step 3: Cross multiply
    97,462.95x = 134,498.87 × 55,024.21
  4. Step 4: Simplify right side
    97,462.95x = 7,400,694,067.64
  5. Step 5: Solve for x
    x = 7,400,694,067.64/97,462.95
  6. Step 6: Final answer
    x = 75,933.41

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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.