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Finding the Fourth Proportional to 73,544, 110,331.36 and 29,768

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Solution

The fourth proportional to 73,544, 110,331.36 and 29,768 is: 44,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,544 : 110,331.36 = 29,768 : x
  2. Step 2: Convert to fraction form
    73,544/110,331.36 = 29,768/x
  3. Step 3: Cross multiply
    73,544x = 110,331.36 × 29,768
  4. Step 4: Simplify right side
    73,544x = 3,284,343,924.48
  5. Step 5: Solve for x
    x = 3,284,343,924.48/73,544
  6. Step 6: Final answer
    x = 44,658.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.