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Finding the Fourth Proportional to 30,080.35, 45,090.78 and 14,257.60

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Solution

The fourth proportional to 30,080.35, 45,090.78 and 14,257.60 is: 21,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,080.35 : 45,090.78 = 14,257.60 : x
  2. Step 2: Convert to fraction form
    30,080.35/45,090.78 = 14,257.60/x
  3. Step 3: Cross multiply
    30,080.35x = 45,090.78 × 14,257.60
  4. Step 4: Simplify right side
    30,080.35x = 642,886,304.93
  5. Step 5: Solve for x
    x = 642,886,304.93/30,080.35
  6. Step 6: Final answer
    x = 21,372.30

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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.