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Finding the Fourth Proportional to 30,841.40, 46,233.75 and 11,115.13

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Solution

The fourth proportional to 30,841.40, 46,233.75 and 11,115.13 is: 16,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.40 : 46,233.75 = 11,115.13 : x
  2. Step 2: Convert to fraction form
    30,841.40/46,233.75 = 11,115.13/x
  3. Step 3: Cross multiply
    30,841.40x = 46,233.75 × 11,115.13
  4. Step 4: Simplify right side
    30,841.40x = 513,894,141.64
  5. Step 5: Solve for x
    x = 513,894,141.64/30,841.40
  6. Step 6: Final answer
    x = 16,662.48

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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.