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Finding the Fourth Proportional to 33,275.61, 49,913.21 and 8,315.53

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Solution

The fourth proportional to 33,275.61, 49,913.21 and 8,315.53 is: 12,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,275.61 : 49,913.21 = 8,315.53 : x
  2. Step 2: Convert to fraction form
    33,275.61/49,913.21 = 8,315.53/x
  3. Step 3: Cross multiply
    33,275.61x = 49,913.21 × 8,315.53
  4. Step 4: Simplify right side
    33,275.61x = 415,054,504.01
  5. Step 5: Solve for x
    x = 415,054,504.01/33,275.61
  6. Step 6: Final answer
    x = 12,473.24

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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.