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Finding the Fourth Proportional to 32,912.81, 45,419.49 and 17,805.42

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Solution

The fourth proportional to 32,912.81, 45,419.49 and 17,805.42 is: 24,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,912.81 : 45,419.49 = 17,805.42 : x
  2. Step 2: Convert to fraction form
    32,912.81/45,419.49 = 17,805.42/x
  3. Step 3: Cross multiply
    32,912.81x = 45,419.49 × 17,805.42
  4. Step 4: Simplify right side
    32,912.81x = 808,713,095.64
  5. Step 5: Solve for x
    x = 808,713,095.64/32,912.81
  6. Step 6: Final answer
    x = 24,571.38

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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.