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Finding the Fourth Proportional to 34,048, 46,992.45 and 32,553.55

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Solution

The fourth proportional to 34,048, 46,992.45 and 32,553.55 is: 44,929.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,048 : 46,992.45 = 32,553.55 : x
  2. Step 2: Convert to fraction form
    34,048/46,992.45 = 32,553.55/x
  3. Step 3: Cross multiply
    34,048x = 46,992.45 × 32,553.55
  4. Step 4: Simplify right side
    34,048x = 1,529,771,070.70
  5. Step 5: Solve for x
    x = 1,529,771,070.70/34,048
  6. Step 6: Final answer
    x = 44,929.84

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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.