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Finding the Fourth Proportional to 51,745.34, 77,603 and 20,148.36

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Solution

The fourth proportional to 51,745.34, 77,603 and 20,148.36 is: 30,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,745.34 : 77,603 = 20,148.36 : x
  2. Step 2: Convert to fraction form
    51,745.34/77,603 = 20,148.36/x
  3. Step 3: Cross multiply
    51,745.34x = 77,603 × 20,148.36
  4. Step 4: Simplify right side
    51,745.34x = 1,563,573,181.08
  5. Step 5: Solve for x
    x = 1,563,573,181.08/51,745.34
  6. Step 6: Final answer
    x = 30,216.70

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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.