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Finding the Fourth Proportional to 38,003.80, 57,008.10 and 14,630.20

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Solution

The fourth proportional to 38,003.80, 57,008.10 and 14,630.20 is: 21,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,003.80 : 57,008.10 = 14,630.20 : x
  2. Step 2: Convert to fraction form
    38,003.80/57,008.10 = 14,630.20/x
  3. Step 3: Cross multiply
    38,003.80x = 57,008.10 × 14,630.20
  4. Step 4: Simplify right side
    38,003.80x = 834,039,904.62
  5. Step 5: Solve for x
    x = 834,039,904.62/38,003.80
  6. Step 6: Final answer
    x = 21,946.22

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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.