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Finding the Fourth Proportional to 58,297, 87,460.26 and 16,744

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Solution

The fourth proportional to 58,297, 87,460.26 and 16,744 is: 25,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,297 : 87,460.26 = 16,744 : x
  2. Step 2: Convert to fraction form
    58,297/87,460.26 = 16,744/x
  3. Step 3: Cross multiply
    58,297x = 87,460.26 × 16,744
  4. Step 4: Simplify right side
    58,297x = 1,464,434,593.44
  5. Step 5: Solve for x
    x = 1,464,434,593.44/58,297
  6. Step 6: Final answer
    x = 25,120.24

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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.