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Finding the Fourth Proportional to 30,842.90, 46,236 and 11,116.64

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Solution

The fourth proportional to 30,842.90, 46,236 and 11,116.64 is: 16,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.90 : 46,236 = 11,116.64 : x
  2. Step 2: Convert to fraction form
    30,842.90/46,236 = 11,116.64/x
  3. Step 3: Cross multiply
    30,842.90x = 46,236 × 11,116.64
  4. Step 4: Simplify right side
    30,842.90x = 513,988,967.04
  5. Step 5: Solve for x
    x = 513,988,967.04/30,842.90
  6. Step 6: Final answer
    x = 16,664.74

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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.