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Finding the Fourth Proportional to 43,678.68, 65,519.70 and 14,097

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Solution

The fourth proportional to 43,678.68, 65,519.70 and 14,097 is: 21,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,678.68 : 65,519.70 = 14,097 : x
  2. Step 2: Convert to fraction form
    43,678.68/65,519.70 = 14,097/x
  3. Step 3: Cross multiply
    43,678.68x = 65,519.70 × 14,097
  4. Step 4: Simplify right side
    43,678.68x = 923,631,210.90
  5. Step 5: Solve for x
    x = 923,631,210.90/43,678.68
  6. Step 6: Final answer
    x = 21,146.04

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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.