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Finding the Fourth Proportional to 34,643.61, 51,972.72 and 11,268.21

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Solution

The fourth proportional to 34,643.61, 51,972.72 and 11,268.21 is: 16,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,643.61 : 51,972.72 = 11,268.21 : x
  2. Step 2: Convert to fraction form
    34,643.61/51,972.72 = 11,268.21/x
  3. Step 3: Cross multiply
    34,643.61x = 51,972.72 × 11,268.21
  4. Step 4: Simplify right side
    34,643.61x = 585,639,523.23
  5. Step 5: Solve for x
    x = 585,639,523.23/34,643.61
  6. Step 6: Final answer
    x = 16,904.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.