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Finding the Fourth Proportional to 32,998.47, 45,525.96 and 21,674.07

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Solution

The fourth proportional to 32,998.47, 45,525.96 and 21,674.07 is: 29,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998.47 : 45,525.96 = 21,674.07 : x
  2. Step 2: Convert to fraction form
    32,998.47/45,525.96 = 21,674.07/x
  3. Step 3: Cross multiply
    32,998.47x = 45,525.96 × 21,674.07
  4. Step 4: Simplify right side
    32,998.47x = 986,732,843.86
  5. Step 5: Solve for x
    x = 986,732,843.86/32,998.47
  6. Step 6: Final answer
    x = 29,902.38

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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.