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Finding the Fourth Proportional to 35,321.64, 48,696.24 and 30,264

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Solution

The fourth proportional to 35,321.64, 48,696.24 and 30,264 is: 41,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,321.64 : 48,696.24 = 30,264 : x
  2. Step 2: Convert to fraction form
    35,321.64/48,696.24 = 30,264/x
  3. Step 3: Cross multiply
    35,321.64x = 48,696.24 × 30,264
  4. Step 4: Simplify right side
    35,321.64x = 1,473,743,007.36
  5. Step 5: Solve for x
    x = 1,473,743,007.36/35,321.64
  6. Step 6: Final answer
    x = 41,723.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.