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Finding the Fourth Proportional to 34,091.08, 51,124.60 and 13,037

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Solution

The fourth proportional to 34,091.08, 51,124.60 and 13,037 is: 19,550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,091.08 : 51,124.60 = 13,037 : x
  2. Step 2: Convert to fraction form
    34,091.08/51,124.60 = 13,037/x
  3. Step 3: Cross multiply
    34,091.08x = 51,124.60 × 13,037
  4. Step 4: Simplify right side
    34,091.08x = 666,511,410.20
  5. Step 5: Solve for x
    x = 666,511,410.20/34,091.08
  6. Step 6: Final answer
    x = 19,550.90

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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.