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Finding the Fourth Proportional to 34,592.49, 51,909.74 and 13,814.25

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Solution

The fourth proportional to 34,592.49, 51,909.74 and 13,814.25 is: 20,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,592.49 : 51,909.74 = 13,814.25 : x
  2. Step 2: Convert to fraction form
    34,592.49/51,909.74 = 13,814.25/x
  3. Step 3: Cross multiply
    34,592.49x = 51,909.74 × 13,814.25
  4. Step 4: Simplify right side
    34,592.49x = 717,094,056.72
  5. Step 5: Solve for x
    x = 717,094,056.72/34,592.49
  6. Step 6: Final answer
    x = 20,729.76

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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.