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Finding the Fourth Proportional to 32,133.26, 48,208.20 and 18,817.50

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Solution

The fourth proportional to 32,133.26, 48,208.20 and 18,817.50 is: 28,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,133.26 : 48,208.20 = 18,817.50 : x
  2. Step 2: Convert to fraction form
    32,133.26/48,208.20 = 18,817.50/x
  3. Step 3: Cross multiply
    32,133.26x = 48,208.20 × 18,817.50
  4. Step 4: Simplify right side
    32,133.26x = 907,157,803.50
  5. Step 5: Solve for x
    x = 907,157,803.50/32,133.26
  6. Step 6: Final answer
    x = 28,231.12

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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.