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Finding the Fourth Proportional to 32,998.50, 45,538.11 and 19,576.50

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Solution

The fourth proportional to 32,998.50, 45,538.11 and 19,576.50 is: 27,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998.50 : 45,538.11 = 19,576.50 : x
  2. Step 2: Convert to fraction form
    32,998.50/45,538.11 = 19,576.50/x
  3. Step 3: Cross multiply
    32,998.50x = 45,538.11 × 19,576.50
  4. Step 4: Simplify right side
    32,998.50x = 891,476,810.42
  5. Step 5: Solve for x
    x = 891,476,810.42/32,998.50
  6. Step 6: Final answer
    x = 27,015.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.