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Finding the Fourth Proportional to 43,802.70, 65,704.05 and 16,097.10

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Solution

The fourth proportional to 43,802.70, 65,704.05 and 16,097.10 is: 24,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,802.70 : 65,704.05 = 16,097.10 : x
  2. Step 2: Convert to fraction form
    43,802.70/65,704.05 = 16,097.10/x
  3. Step 3: Cross multiply
    43,802.70x = 65,704.05 × 16,097.10
  4. Step 4: Simplify right side
    43,802.70x = 1,057,644,663.26
  5. Step 5: Solve for x
    x = 1,057,644,663.26/43,802.70
  6. Step 6: Final answer
    x = 24,145.65

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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.