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Finding the Fourth Proportional to 32,852.40, 49,205.70 and 17,251.80

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Solution

The fourth proportional to 32,852.40, 49,205.70 and 17,251.80 is: 25,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852.40 : 49,205.70 = 17,251.80 : x
  2. Step 2: Convert to fraction form
    32,852.40/49,205.70 = 17,251.80/x
  3. Step 3: Cross multiply
    32,852.40x = 49,205.70 × 17,251.80
  4. Step 4: Simplify right side
    32,852.40x = 848,886,895.26
  5. Step 5: Solve for x
    x = 848,886,895.26/32,852.40
  6. Step 6: Final answer
    x = 25,839.42

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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.