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Finding the Fourth Proportional to 43,816.46, 65,718.50 and 14,234.64

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Solution

The fourth proportional to 43,816.46, 65,718.50 and 14,234.64 is: 21,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,816.46 : 65,718.50 = 14,234.64 : x
  2. Step 2: Convert to fraction form
    43,816.46/65,718.50 = 14,234.64/x
  3. Step 3: Cross multiply
    43,816.46x = 65,718.50 × 14,234.64
  4. Step 4: Simplify right side
    43,816.46x = 935,479,117.67
  5. Step 5: Solve for x
    x = 935,479,117.67/43,816.46
  6. Step 6: Final answer
    x = 21,349.95

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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.