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Finding the Fourth Proportional to 32,852.45, 49,286.00 and 9,478.89

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Solution

The fourth proportional to 32,852.45, 49,286.00 and 9,478.89 is: 14,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852.45 : 49,286.00 = 9,478.89 : x
  2. Step 2: Convert to fraction form
    32,852.45/49,286.00 = 9,478.89/x
  3. Step 3: Cross multiply
    32,852.45x = 49,286.00 × 9,478.89
  4. Step 4: Simplify right side
    32,852.45x = 467,176,596.24
  5. Step 5: Solve for x
    x = 467,176,596.24/32,852.45
  6. Step 6: Final answer
    x = 14,220.45

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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.