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Finding the Fourth Proportional to 58,198, 87,297 and 16,645

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Solution

The fourth proportional to 58,198, 87,297 and 16,645 is: 24,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,198 : 87,297 = 16,645 : x
  2. Step 2: Convert to fraction form
    58,198/87,297 = 16,645/x
  3. Step 3: Cross multiply
    58,198x = 87,297 × 16,645
  4. Step 4: Simplify right side
    58,198x = 1,453,058,565
  5. Step 5: Solve for x
    x = 1,453,058,565/58,198
  6. Step 6: Final answer
    x = 24,967.50

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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.