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Finding the Fourth Proportional to 30,843.40, 46,236.75 and 11,117.13

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Solution

The fourth proportional to 30,843.40, 46,236.75 and 11,117.13 is: 16,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.40 : 46,236.75 = 11,117.13 : x
  2. Step 2: Convert to fraction form
    30,843.40/46,236.75 = 11,117.13/x
  3. Step 3: Cross multiply
    30,843.40x = 46,236.75 × 11,117.13
  4. Step 4: Simplify right side
    30,843.40x = 514,019,960.53
  5. Step 5: Solve for x
    x = 514,019,960.53/30,843.40
  6. Step 6: Final answer
    x = 16,665.48

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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.