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Finding the Fourth Proportional to 74,089.69, 111,134.53 and 21,499.63

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Solution

The fourth proportional to 74,089.69, 111,134.53 and 21,499.63 is: 32,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,089.69 : 111,134.53 = 21,499.63 : x
  2. Step 2: Convert to fraction form
    74,089.69/111,134.53 = 21,499.63/x
  3. Step 3: Cross multiply
    74,089.69x = 111,134.53 × 21,499.63
  4. Step 4: Simplify right side
    74,089.69x = 2,389,351,024.26
  5. Step 5: Solve for x
    x = 2,389,351,024.26/74,089.69
  6. Step 6: Final answer
    x = 32,249.44

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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.