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Finding the Fourth Proportional to 58,201.08, 87,304.86 and 16,647

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Solution

The fourth proportional to 58,201.08, 87,304.86 and 16,647 is: 24,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,201.08 : 87,304.86 = 16,647 : x
  2. Step 2: Convert to fraction form
    58,201.08/87,304.86 = 16,647/x
  3. Step 3: Cross multiply
    58,201.08x = 87,304.86 × 16,647
  4. Step 4: Simplify right side
    58,201.08x = 1,453,364,004.42
  5. Step 5: Solve for x
    x = 1,453,364,004.42/58,201.08
  6. Step 6: Final answer
    x = 24,971.43

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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.