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Finding the Fourth Proportional to 30,028.84, 45,018.10 and 14,224.84

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Solution

The fourth proportional to 30,028.84, 45,018.10 and 14,224.84 is: 21,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,028.84 : 45,018.10 = 14,224.84 : x
  2. Step 2: Convert to fraction form
    30,028.84/45,018.10 = 14,224.84/x
  3. Step 3: Cross multiply
    30,028.84x = 45,018.10 × 14,224.84
  4. Step 4: Simplify right side
    30,028.84x = 640,375,269.60
  5. Step 5: Solve for x
    x = 640,375,269.60/30,028.84
  6. Step 6: Final answer
    x = 21,325.34

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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.