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Finding the Fourth Proportional to 29,782.80, 44,662.05 and 10,051.20

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Solution

The fourth proportional to 29,782.80, 44,662.05 and 10,051.20 is: 15,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.80 : 44,662.05 = 10,051.20 : x
  2. Step 2: Convert to fraction form
    29,782.80/44,662.05 = 10,051.20/x
  3. Step 3: Cross multiply
    29,782.80x = 44,662.05 × 10,051.20
  4. Step 4: Simplify right side
    29,782.80x = 448,907,196.96
  5. Step 5: Solve for x
    x = 448,907,196.96/29,782.80
  6. Step 6: Final answer
    x = 15,072.70

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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.