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Finding the Fourth Proportional to 34,944, 52,445.16 and 16,476

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Solution

The fourth proportional to 34,944, 52,445.16 and 16,476 is: 24,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,944 : 52,445.16 = 16,476 : x
  2. Step 2: Convert to fraction form
    34,944/52,445.16 = 16,476/x
  3. Step 3: Cross multiply
    34,944x = 52,445.16 × 16,476
  4. Step 4: Simplify right side
    34,944x = 864,086,456.16
  5. Step 5: Solve for x
    x = 864,086,456.16/34,944
  6. Step 6: Final answer
    x = 24,727.75

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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.