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Finding the Fourth Proportional to 30,416.14, 45,620.73 and 8,228.20

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Solution

The fourth proportional to 30,416.14, 45,620.73 and 8,228.20 is: 12,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.14 : 45,620.73 = 8,228.20 : x
  2. Step 2: Convert to fraction form
    30,416.14/45,620.73 = 8,228.20/x
  3. Step 3: Cross multiply
    30,416.14x = 45,620.73 × 8,228.20
  4. Step 4: Simplify right side
    30,416.14x = 375,376,490.59
  5. Step 5: Solve for x
    x = 375,376,490.59/30,416.14
  6. Step 6: Final answer
    x = 12,341.36

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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.