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Finding the Fourth Proportional to 35,100.43, 52,629.02 and 16,384.47

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Solution

The fourth proportional to 35,100.43, 52,629.02 and 16,384.47 is: 24,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,100.43 : 52,629.02 = 16,384.47 : x
  2. Step 2: Convert to fraction form
    35,100.43/52,629.02 = 16,384.47/x
  3. Step 3: Cross multiply
    35,100.43x = 52,629.02 × 16,384.47
  4. Step 4: Simplify right side
    35,100.43x = 862,298,599.32
  5. Step 5: Solve for x
    x = 862,298,599.32/35,100.43
  6. Step 6: Final answer
    x = 24,566.61

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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.