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Finding the Fourth Proportional to 30,578.21, 45,874.22 and 10,856.77

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Solution

The fourth proportional to 30,578.21, 45,874.22 and 10,856.77 is: 16,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.21 : 45,874.22 = 10,856.77 : x
  2. Step 2: Convert to fraction form
    30,578.21/45,874.22 = 10,856.77/x
  3. Step 3: Cross multiply
    30,578.21x = 45,874.22 × 10,856.77
  4. Step 4: Simplify right side
    30,578.21x = 498,045,686.50
  5. Step 5: Solve for x
    x = 498,045,686.50/30,578.21
  6. Step 6: Final answer
    x = 16,287.60

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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.