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Finding the Fourth Proportional to 43,808.32, 65,722.86 and 14,226.16

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Solution

The fourth proportional to 43,808.32, 65,722.86 and 14,226.16 is: 21,342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,808.32 : 65,722.86 = 14,226.16 : x
  2. Step 2: Convert to fraction form
    43,808.32/65,722.86 = 14,226.16/x
  3. Step 3: Cross multiply
    43,808.32x = 65,722.86 × 14,226.16
  4. Step 4: Simplify right side
    43,808.32x = 934,983,922.02
  5. Step 5: Solve for x
    x = 934,983,922.02/43,808.32
  6. Step 6: Final answer
    x = 21,342.61

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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.