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Finding the Fourth Proportional to 43,814.45, 65,724.02 and 14,230.10

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Solution

The fourth proportional to 43,814.45, 65,724.02 and 14,230.10 is: 21,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,814.45 : 65,724.02 = 14,230.10 : x
  2. Step 2: Convert to fraction form
    43,814.45/65,724.02 = 14,230.10/x
  3. Step 3: Cross multiply
    43,814.45x = 65,724.02 × 14,230.10
  4. Step 4: Simplify right side
    43,814.45x = 935,259,377.00
  5. Step 5: Solve for x
    x = 935,259,377.00/43,814.45
  6. Step 6: Final answer
    x = 21,345.91

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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.