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Finding the Fourth Proportional to 42,407.44, 63,611.76 and 12,825.52

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Solution

The fourth proportional to 42,407.44, 63,611.76 and 12,825.52 is: 19,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407.44 : 63,611.76 = 12,825.52 : x
  2. Step 2: Convert to fraction form
    42,407.44/63,611.76 = 12,825.52/x
  3. Step 3: Cross multiply
    42,407.44x = 63,611.76 × 12,825.52
  4. Step 4: Simplify right side
    42,407.44x = 815,853,900.12
  5. Step 5: Solve for x
    x = 815,853,900.12/42,407.44
  6. Step 6: Final answer
    x = 19,238.46

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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.