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Finding the Fourth Proportional to 34,527.49, 47,647.47 and 19,420.15

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Solution

The fourth proportional to 34,527.49, 47,647.47 and 19,420.15 is: 26,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,527.49 : 47,647.47 = 19,420.15 : x
  2. Step 2: Convert to fraction form
    34,527.49/47,647.47 = 19,420.15/x
  3. Step 3: Cross multiply
    34,527.49x = 47,647.47 × 19,420.15
  4. Step 4: Simplify right side
    34,527.49x = 925,321,014.52
  5. Step 5: Solve for x
    x = 925,321,014.52/34,527.49
  6. Step 6: Final answer
    x = 26,799.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.