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Finding the Fourth Proportional to 43,676.68, 65,516.70 and 14,095

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Solution

The fourth proportional to 43,676.68, 65,516.70 and 14,095 is: 21,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,676.68 : 65,516.70 = 14,095 : x
  2. Step 2: Convert to fraction form
    43,676.68/65,516.70 = 14,095/x
  3. Step 3: Cross multiply
    43,676.68x = 65,516.70 × 14,095
  4. Step 4: Simplify right side
    43,676.68x = 923,457,886.50
  5. Step 5: Solve for x
    x = 923,457,886.50/43,676.68
  6. Step 6: Final answer
    x = 21,143.04

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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.