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Finding the Fourth Proportional to 30,902.31, 46,342.53 and 12,181.59

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Solution

The fourth proportional to 30,902.31, 46,342.53 and 12,181.59 is: 18,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.31 : 46,342.53 = 12,181.59 : x
  2. Step 2: Convert to fraction form
    30,902.31/46,342.53 = 12,181.59/x
  3. Step 3: Cross multiply
    30,902.31x = 46,342.53 × 12,181.59
  4. Step 4: Simplify right side
    30,902.31x = 564,525,700.02
  5. Step 5: Solve for x
    x = 564,525,700.02/30,902.31
  6. Step 6: Final answer
    x = 18,268.07

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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.