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Finding the Fourth Proportional to 34,131.88, 47,096.58 and 19,225

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Solution

The fourth proportional to 34,131.88, 47,096.58 and 19,225 is: 26,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,131.88 : 47,096.58 = 19,225 : x
  2. Step 2: Convert to fraction form
    34,131.88/47,096.58 = 19,225/x
  3. Step 3: Cross multiply
    34,131.88x = 47,096.58 × 19,225
  4. Step 4: Simplify right side
    34,131.88x = 905,431,750.50
  5. Step 5: Solve for x
    x = 905,431,750.50/34,131.88
  6. Step 6: Final answer
    x = 26,527.45

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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.