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Finding the Fourth Proportional to 32,121.70, 48,189.63 and 9,631.48

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Solution

The fourth proportional to 32,121.70, 48,189.63 and 9,631.48 is: 14,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,121.70 : 48,189.63 = 9,631.48 : x
  2. Step 2: Convert to fraction form
    32,121.70/48,189.63 = 9,631.48/x
  3. Step 3: Cross multiply
    32,121.70x = 48,189.63 × 9,631.48
  4. Step 4: Simplify right side
    32,121.70x = 464,137,457.55
  5. Step 5: Solve for x
    x = 464,137,457.55/32,121.70
  6. Step 6: Final answer
    x = 14,449.34

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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.