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Finding the Fourth Proportional to 32,495.49, 48,744.97 and 10,310.61

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Solution

The fourth proportional to 32,495.49, 48,744.97 and 10,310.61 is: 15,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.49 : 48,744.97 = 10,310.61 : x
  2. Step 2: Convert to fraction form
    32,495.49/48,744.97 = 10,310.61/x
  3. Step 3: Cross multiply
    32,495.49x = 48,744.97 × 10,310.61
  4. Step 4: Simplify right side
    32,495.49x = 502,590,375.13
  5. Step 5: Solve for x
    x = 502,590,375.13/32,495.49
  6. Step 6: Final answer
    x = 15,466.47

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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.