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Finding the Fourth Proportional to 74,558, 102,892.20 and 41,024

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Solution

The fourth proportional to 74,558, 102,892.20 and 41,024 is: 56,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,558 : 102,892.20 = 41,024 : x
  2. Step 2: Convert to fraction form
    74,558/102,892.20 = 41,024/x
  3. Step 3: Cross multiply
    74,558x = 102,892.20 × 41,024
  4. Step 4: Simplify right side
    74,558x = 4,221,049,612.80
  5. Step 5: Solve for x
    x = 4,221,049,612.80/74,558
  6. Step 6: Final answer
    x = 56,614.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.