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Finding the Fourth Proportional to 32,647.96, 48,989.71 and 25,266.84

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Solution

The fourth proportional to 32,647.96, 48,989.71 and 25,266.84 is: 37,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.96 : 48,989.71 = 25,266.84 : x
  2. Step 2: Convert to fraction form
    32,647.96/48,989.71 = 25,266.84/x
  3. Step 3: Cross multiply
    32,647.96x = 48,989.71 × 25,266.84
  4. Step 4: Simplify right side
    32,647.96x = 1,237,815,012.09
  5. Step 5: Solve for x
    x = 1,237,815,012.09/32,647.96
  6. Step 6: Final answer
    x = 37,914.01

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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.