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Finding the Fourth Proportional to 38,825.40, 58,199.70 and 15,420.60

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Solution

The fourth proportional to 38,825.40, 58,199.70 and 15,420.60 is: 23,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,825.40 : 58,199.70 = 15,420.60 : x
  2. Step 2: Convert to fraction form
    38,825.40/58,199.70 = 15,420.60/x
  3. Step 3: Cross multiply
    38,825.40x = 58,199.70 × 15,420.60
  4. Step 4: Simplify right side
    38,825.40x = 897,474,293.82
  5. Step 5: Solve for x
    x = 897,474,293.82/38,825.40
  6. Step 6: Final answer
    x = 23,115.65

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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.