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Finding the Fourth Proportional to 43,198, 64,797 and 12,034.08

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Solution

The fourth proportional to 43,198, 64,797 and 12,034.08 is: 18,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,198 : 64,797 = 12,034.08 : x
  2. Step 2: Convert to fraction form
    43,198/64,797 = 12,034.08/x
  3. Step 3: Cross multiply
    43,198x = 64,797 × 12,034.08
  4. Step 4: Simplify right side
    43,198x = 779,772,281.76
  5. Step 5: Solve for x
    x = 779,772,281.76/43,198
  6. Step 6: Final answer
    x = 18,051.12

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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.