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Finding the Fourth Proportional to 30,406.16, 41,949.42 and 17,828.48

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Solution

The fourth proportional to 30,406.16, 41,949.42 and 17,828.48 is: 24,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.16 : 41,949.42 = 17,828.48 : x
  2. Step 2: Convert to fraction form
    30,406.16/41,949.42 = 17,828.48/x
  3. Step 3: Cross multiply
    30,406.16x = 41,949.42 × 17,828.48
  4. Step 4: Simplify right side
    30,406.16x = 747,894,395.48
  5. Step 5: Solve for x
    x = 747,894,395.48/30,406.16
  6. Step 6: Final answer
    x = 24,596.81

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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.