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Finding the Fourth Proportional to 43,889.92, 65,843.76 and 14,308

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Solution

The fourth proportional to 43,889.92, 65,843.76 and 14,308 is: 21,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,889.92 : 65,843.76 = 14,308 : x
  2. Step 2: Convert to fraction form
    43,889.92/65,843.76 = 14,308/x
  3. Step 3: Cross multiply
    43,889.92x = 65,843.76 × 14,308
  4. Step 4: Simplify right side
    43,889.92x = 942,092,518.08
  5. Step 5: Solve for x
    x = 942,092,518.08/43,889.92
  6. Step 6: Final answer
    x = 21,464.89

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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.