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Finding the Fourth Proportional to 65,930.52, 98,894.88 and 16,011

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Solution

The fourth proportional to 65,930.52, 98,894.88 and 16,011 is: 24,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,930.52 : 98,894.88 = 16,011 : x
  2. Step 2: Convert to fraction form
    65,930.52/98,894.88 = 16,011/x
  3. Step 3: Cross multiply
    65,930.52x = 98,894.88 × 16,011
  4. Step 4: Simplify right side
    65,930.52x = 1,583,405,923.68
  5. Step 5: Solve for x
    x = 1,583,405,923.68/65,930.52
  6. Step 6: Final answer
    x = 24,016.28

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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.