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Finding the Fourth Proportional to 43,796.08, 65,695.16 and 14,214

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Solution

The fourth proportional to 43,796.08, 65,695.16 and 14,214 is: 21,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,796.08 : 65,695.16 = 14,214 : x
  2. Step 2: Convert to fraction form
    43,796.08/65,695.16 = 14,214/x
  3. Step 3: Cross multiply
    43,796.08x = 65,695.16 × 14,214
  4. Step 4: Simplify right side
    43,796.08x = 933,791,004.24
  5. Step 5: Solve for x
    x = 933,791,004.24/43,796.08
  6. Step 6: Final answer
    x = 21,321.34

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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.