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Finding the Fourth Proportional to 46,411.35, 69,642.54 and 20,116.32

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Solution

The fourth proportional to 46,411.35, 69,642.54 and 20,116.32 is: 30,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,411.35 : 69,642.54 = 20,116.32 : x
  2. Step 2: Convert to fraction form
    46,411.35/69,642.54 = 20,116.32/x
  3. Step 3: Cross multiply
    46,411.35x = 69,642.54 × 20,116.32
  4. Step 4: Simplify right side
    46,411.35x = 1,400,951,620.25
  5. Step 5: Solve for x
    x = 1,400,951,620.25/46,411.35
  6. Step 6: Final answer
    x = 30,185.54

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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.