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Finding the Fourth Proportional to 39,676.56, 59,514.56 and 10,094

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Solution

The fourth proportional to 39,676.56, 59,514.56 and 10,094 is: 15,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676.56 : 59,514.56 = 10,094 : x
  2. Step 2: Convert to fraction form
    39,676.56/59,514.56 = 10,094/x
  3. Step 3: Cross multiply
    39,676.56x = 59,514.56 × 10,094
  4. Step 4: Simplify right side
    39,676.56x = 600,739,968.64
  5. Step 5: Solve for x
    x = 600,739,968.64/39,676.56
  6. Step 6: Final answer
    x = 15,140.93

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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.