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Finding the Fourth Proportional to 34,045.12, 51,074.16 and 13,267

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Solution

The fourth proportional to 34,045.12, 51,074.16 and 13,267 is: 19,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,045.12 : 51,074.16 = 13,267 : x
  2. Step 2: Convert to fraction form
    34,045.12/51,074.16 = 13,267/x
  3. Step 3: Cross multiply
    34,045.12x = 51,074.16 × 13,267
  4. Step 4: Simplify right side
    34,045.12x = 677,600,880.72
  5. Step 5: Solve for x
    x = 677,600,880.72/34,045.12
  6. Step 6: Final answer
    x = 19,903.03

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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.