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Finding the Fourth Proportional to 45,712.59, 68,577 and 16,147.59

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Solution

The fourth proportional to 45,712.59, 68,577 and 16,147.59 is: 24,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712.59 : 68,577 = 16,147.59 : x
  2. Step 2: Convert to fraction form
    45,712.59/68,577 = 16,147.59/x
  3. Step 3: Cross multiply
    45,712.59x = 68,577 × 16,147.59
  4. Step 4: Simplify right side
    45,712.59x = 1,107,353,279.43
  5. Step 5: Solve for x
    x = 1,107,353,279.43/45,712.59
  6. Step 6: Final answer
    x = 24,224.25

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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.