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Finding the Fourth Proportional to 30,406.10, 41,943.57 and 17,828.42

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Solution

The fourth proportional to 30,406.10, 41,943.57 and 17,828.42 is: 24,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.10 : 41,943.57 = 17,828.42 : x
  2. Step 2: Convert to fraction form
    30,406.10/41,943.57 = 17,828.42/x
  3. Step 3: Cross multiply
    30,406.10x = 41,943.57 × 17,828.42
  4. Step 4: Simplify right side
    30,406.10x = 747,787,582.26
  5. Step 5: Solve for x
    x = 747,787,582.26/30,406.10
  6. Step 6: Final answer
    x = 24,593.34

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