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Finding the Fourth Proportional to 29,850, 44,775 and 11,382

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Solution

The fourth proportional to 29,850, 44,775 and 11,382 is: 17,073

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,850 : 44,775 = 11,382 : x
  2. Step 2: Convert to fraction form
    29,850/44,775 = 11,382/x
  3. Step 3: Cross multiply
    29,850x = 44,775 × 11,382
  4. Step 4: Simplify right side
    29,850x = 509,629,050
  5. Step 5: Solve for x
    x = 509,629,050/29,850
  6. Step 6: Final answer
    x = 17,073

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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.