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Finding the Fourth Proportional to 58,099, 87,163.08 and 16,546

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Solution

The fourth proportional to 58,099, 87,163.08 and 16,546 is: 24,823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,099 : 87,163.08 = 16,546 : x
  2. Step 2: Convert to fraction form
    58,099/87,163.08 = 16,546/x
  3. Step 3: Cross multiply
    58,099x = 87,163.08 × 16,546
  4. Step 4: Simplify right side
    58,099x = 1,442,200,321.68
  5. Step 5: Solve for x
    x = 1,442,200,321.68/58,099
  6. Step 6: Final answer
    x = 24,823.15

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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.