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Finding the Fourth Proportional to 43,664.66, 65,509.75 and 14,081.84

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Solution

The fourth proportional to 43,664.66, 65,509.75 and 14,081.84 is: 21,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,664.66 : 65,509.75 = 14,081.84 : x
  2. Step 2: Convert to fraction form
    43,664.66/65,509.75 = 14,081.84/x
  3. Step 3: Cross multiply
    43,664.66x = 65,509.75 × 14,081.84
  4. Step 4: Simplify right side
    43,664.66x = 922,497,782.74
  5. Step 5: Solve for x
    x = 922,497,782.74/43,664.66
  6. Step 6: Final answer
    x = 21,126.87

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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.