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Finding the Fourth Proportional to 30,257.56, 41,756.43 and 16,646.19

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Solution

The fourth proportional to 30,257.56, 41,756.43 and 16,646.19 is: 22,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.56 : 41,756.43 = 16,646.19 : x
  2. Step 2: Convert to fraction form
    30,257.56/41,756.43 = 16,646.19/x
  3. Step 3: Cross multiply
    30,257.56x = 41,756.43 × 16,646.19
  4. Step 4: Simplify right side
    30,257.56x = 695,085,467.50
  5. Step 5: Solve for x
    x = 695,085,467.50/30,257.56
  6. Step 6: Final answer
    x = 22,972.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.