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Finding the Fourth Proportional to 34,019.34, 51,031.89 and 9,059.40

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Solution

The fourth proportional to 34,019.34, 51,031.89 and 9,059.40 is: 13,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,019.34 : 51,031.89 = 9,059.40 : x
  2. Step 2: Convert to fraction form
    34,019.34/51,031.89 = 9,059.40/x
  3. Step 3: Cross multiply
    34,019.34x = 51,031.89 × 9,059.40
  4. Step 4: Simplify right side
    34,019.34x = 462,318,304.27
  5. Step 5: Solve for x
    x = 462,318,304.27/34,019.34
  6. Step 6: Final answer
    x = 13,589.87

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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.