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Finding the Fourth Proportional to 45,827, 68,751.24 and 14,235.44

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Solution

The fourth proportional to 45,827, 68,751.24 and 14,235.44 is: 21,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,827 : 68,751.24 = 14,235.44 : x
  2. Step 2: Convert to fraction form
    45,827/68,751.24 = 14,235.44/x
  3. Step 3: Cross multiply
    45,827x = 68,751.24 × 14,235.44
  4. Step 4: Simplify right side
    45,827x = 978,704,151.95
  5. Step 5: Solve for x
    x = 978,704,151.95/45,827
  6. Step 6: Final answer
    x = 21,356.50

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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.