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Finding the Fourth Proportional to 30,682.33, 45,967.87 and 14,056.27

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Solution

The fourth proportional to 30,682.33, 45,967.87 and 14,056.27 is: 21,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.33 : 45,967.87 = 14,056.27 : x
  2. Step 2: Convert to fraction form
    30,682.33/45,967.87 = 14,056.27/x
  3. Step 3: Cross multiply
    30,682.33x = 45,967.87 × 14,056.27
  4. Step 4: Simplify right side
    30,682.33x = 646,136,694.70
  5. Step 5: Solve for x
    x = 646,136,694.70/30,682.33
  6. Step 6: Final answer
    x = 21,058.92

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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.