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Finding the Fourth Proportional to 30,713.27, 46,053.50 and 9,649.44

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Solution

The fourth proportional to 30,713.27, 46,053.50 and 9,649.44 is: 14,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.27 : 46,053.50 = 9,649.44 : x
  2. Step 2: Convert to fraction form
    30,713.27/46,053.50 = 9,649.44/x
  3. Step 3: Cross multiply
    30,713.27x = 46,053.50 × 9,649.44
  4. Step 4: Simplify right side
    30,713.27x = 444,390,436.79
  5. Step 5: Solve for x
    x = 444,390,436.79/30,713.27
  6. Step 6: Final answer
    x = 14,469.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.