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Finding the Fourth Proportional to 45,782.91, 63,178.70 and 25,638.80

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Solution

The fourth proportional to 45,782.91, 63,178.70 and 25,638.80 is: 35,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,782.91 : 63,178.70 = 25,638.80 : x
  2. Step 2: Convert to fraction form
    45,782.91/63,178.70 = 25,638.80/x
  3. Step 3: Cross multiply
    45,782.91x = 63,178.70 × 25,638.80
  4. Step 4: Simplify right side
    45,782.91x = 1,619,825,609.47
  5. Step 5: Solve for x
    x = 1,619,825,609.47/45,782.91
  6. Step 6: Final answer
    x = 35,380.57

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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.