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Finding the Fourth Proportional to 30,736.46, 46,095.58 and 13,202.19

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Solution

The fourth proportional to 30,736.46, 46,095.58 and 13,202.19 is: 19,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,736.46 : 46,095.58 = 13,202.19 : x
  2. Step 2: Convert to fraction form
    30,736.46/46,095.58 = 13,202.19/x
  3. Step 3: Cross multiply
    30,736.46x = 46,095.58 × 13,202.19
  4. Step 4: Simplify right side
    30,736.46x = 608,562,605.32
  5. Step 5: Solve for x
    x = 608,562,605.32/30,736.46
  6. Step 6: Final answer
    x = 19,799.37

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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.