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Finding the Fourth Proportional to 32,888.87, 49,336.42 and 9,196.41

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Solution

The fourth proportional to 32,888.87, 49,336.42 and 9,196.41 is: 13,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,888.87 : 49,336.42 = 9,196.41 : x
  2. Step 2: Convert to fraction form
    32,888.87/49,336.42 = 9,196.41/x
  3. Step 3: Cross multiply
    32,888.87x = 49,336.42 × 9,196.41
  4. Step 4: Simplify right side
    32,888.87x = 453,718,087.09
  5. Step 5: Solve for x
    x = 453,718,087.09/32,888.87
  6. Step 6: Final answer
    x = 13,795.49

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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.