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Finding the Fourth Proportional to 32,490.43, 48,696.40 and 15,825.49

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Solution

The fourth proportional to 32,490.43, 48,696.40 and 15,825.49 is: 23,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,490.43 : 48,696.40 = 15,825.49 : x
  2. Step 2: Convert to fraction form
    32,490.43/48,696.40 = 15,825.49/x
  3. Step 3: Cross multiply
    32,490.43x = 48,696.40 × 15,825.49
  4. Step 4: Simplify right side
    32,490.43x = 770,644,391.24
  5. Step 5: Solve for x
    x = 770,644,391.24/32,490.43
  6. Step 6: Final answer
    x = 23,719.12

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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.