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Finding the Fourth Proportional to 71,670.13, 107,505.19 and 24,923

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Solution

The fourth proportional to 71,670.13, 107,505.19 and 24,923 is: 37,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,670.13 : 107,505.19 = 24,923 : x
  2. Step 2: Convert to fraction form
    71,670.13/107,505.19 = 24,923/x
  3. Step 3: Cross multiply
    71,670.13x = 107,505.19 × 24,923
  4. Step 4: Simplify right side
    71,670.13x = 2,679,351,850.37
  5. Step 5: Solve for x
    x = 2,679,351,850.37/71,670.13
  6. Step 6: Final answer
    x = 37,384.50

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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.