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Finding the Fourth Proportional to 30,578.14, 45,873.69 and 9,816.22

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Solution

The fourth proportional to 30,578.14, 45,873.69 and 9,816.22 is: 14,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.14 : 45,873.69 = 9,816.22 : x
  2. Step 2: Convert to fraction form
    30,578.14/45,873.69 = 9,816.22/x
  3. Step 3: Cross multiply
    30,578.14x = 45,873.69 × 9,816.22
  4. Step 4: Simplify right side
    30,578.14x = 450,306,233.25
  5. Step 5: Solve for x
    x = 450,306,233.25/30,578.14
  6. Step 6: Final answer
    x = 14,726.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.