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Finding the Fourth Proportional to 32,676.51, 49,010.87 and 8,986.47

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Solution

The fourth proportional to 32,676.51, 49,010.87 and 8,986.47 is: 13,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.51 : 49,010.87 = 8,986.47 : x
  2. Step 2: Convert to fraction form
    32,676.51/49,010.87 = 8,986.47/x
  3. Step 3: Cross multiply
    32,676.51x = 49,010.87 × 8,986.47
  4. Step 4: Simplify right side
    32,676.51x = 440,434,551.60
  5. Step 5: Solve for x
    x = 440,434,551.60/32,676.51
  6. Step 6: Final answer
    x = 13,478.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.