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Finding the Fourth Proportional to 45,717, 63,098.10 and 25,845

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Solution

The fourth proportional to 45,717, 63,098.10 and 25,845 is: 35,670.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,717 : 63,098.10 = 25,845 : x
  2. Step 2: Convert to fraction form
    45,717/63,098.10 = 25,845/x
  3. Step 3: Cross multiply
    45,717x = 63,098.10 × 25,845
  4. Step 4: Simplify right side
    45,717x = 1,630,770,394.50
  5. Step 5: Solve for x
    x = 1,630,770,394.50/45,717
  6. Step 6: Final answer
    x = 35,670.98

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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.