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Finding the Fourth Proportional to 38,138.40, 57,207.06 and 14,748.30

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Solution

The fourth proportional to 38,138.40, 57,207.06 and 14,748.30 is: 22,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138.40 : 57,207.06 = 14,748.30 : x
  2. Step 2: Convert to fraction form
    38,138.40/57,207.06 = 14,748.30/x
  3. Step 3: Cross multiply
    38,138.40x = 57,207.06 × 14,748.30
  4. Step 4: Simplify right side
    38,138.40x = 843,706,883.00
  5. Step 5: Solve for x
    x = 843,706,883.00/38,138.40
  6. Step 6: Final answer
    x = 22,122.24

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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.