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Finding the Fourth Proportional to 30,285.44, 45,462.24 and 12,770

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Solution

The fourth proportional to 30,285.44, 45,462.24 and 12,770 is: 19,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.44 : 45,462.24 = 12,770 : x
  2. Step 2: Convert to fraction form
    30,285.44/45,462.24 = 12,770/x
  3. Step 3: Cross multiply
    30,285.44x = 45,462.24 × 12,770
  4. Step 4: Simplify right side
    30,285.44x = 580,552,804.80
  5. Step 5: Solve for x
    x = 580,552,804.80/30,285.44
  6. Step 6: Final answer
    x = 19,169.37

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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.