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Finding the Fourth Proportional to 30,170, 45,225 and 14,347.04

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Solution

The fourth proportional to 30,170, 45,225 and 14,347.04 is: 21,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,170 : 45,225 = 14,347.04 : x
  2. Step 2: Convert to fraction form
    30,170/45,225 = 14,347.04/x
  3. Step 3: Cross multiply
    30,170x = 45,225 × 14,347.04
  4. Step 4: Simplify right side
    30,170x = 648,844,884
  5. Step 5: Solve for x
    x = 648,844,884/30,170
  6. Step 6: Final answer
    x = 21,506.29

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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.