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Finding the Fourth Proportional to 30,026.42, 41,436.62 and 16,414.48

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Solution

The fourth proportional to 30,026.42, 41,436.62 and 16,414.48 is: 22,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,026.42 : 41,436.62 = 16,414.48 : x
  2. Step 2: Convert to fraction form
    30,026.42/41,436.62 = 16,414.48/x
  3. Step 3: Cross multiply
    30,026.42x = 41,436.62 × 16,414.48
  4. Step 4: Simplify right side
    30,026.42x = 680,160,570.26
  5. Step 5: Solve for x
    x = 680,160,570.26/30,026.42
  6. Step 6: Final answer
    x = 22,652.07

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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.