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Finding the Fourth Proportional to 30,735.96, 46,094.82 and 13,201.70

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Solution

The fourth proportional to 30,735.96, 46,094.82 and 13,201.70 is: 19,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.96 : 46,094.82 = 13,201.70 : x
  2. Step 2: Convert to fraction form
    30,735.96/46,094.82 = 13,201.70/x
  3. Step 3: Cross multiply
    30,735.96x = 46,094.82 × 13,201.70
  4. Step 4: Simplify right side
    30,735.96x = 608,529,754.72
  5. Step 5: Solve for x
    x = 608,529,754.72/30,735.96
  6. Step 6: Final answer
    x = 19,798.63

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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.