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Finding the Fourth Proportional to 32,817.48, 49,231.05 and 10,623.48

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Solution

The fourth proportional to 32,817.48, 49,231.05 and 10,623.48 is: 15,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,817.48 : 49,231.05 = 10,623.48 : x
  2. Step 2: Convert to fraction form
    32,817.48/49,231.05 = 10,623.48/x
  3. Step 3: Cross multiply
    32,817.48x = 49,231.05 × 10,623.48
  4. Step 4: Simplify right side
    32,817.48x = 523,005,075.05
  5. Step 5: Solve for x
    x = 523,005,075.05/32,817.48
  6. Step 6: Final answer
    x = 15,936.78

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1.5x scale

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.