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Finding the Fourth Proportional to 30,955.84, 46,433.70 and 11,234.32

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Solution

The fourth proportional to 30,955.84, 46,433.70 and 11,234.32 is: 16,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,955.84 : 46,433.70 = 11,234.32 : x
  2. Step 2: Convert to fraction form
    30,955.84/46,433.70 = 11,234.32/x
  3. Step 3: Cross multiply
    30,955.84x = 46,433.70 × 11,234.32
  4. Step 4: Simplify right side
    30,955.84x = 521,651,044.58
  5. Step 5: Solve for x
    x = 521,651,044.58/30,955.84
  6. Step 6: Final answer
    x = 16,851.46

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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.