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Finding the Fourth Proportional to 53,428.68, 73,732.68 and 32,203.44

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Solution

The fourth proportional to 53,428.68, 73,732.68 and 32,203.44 is: 44,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,428.68 : 73,732.68 = 32,203.44 : x
  2. Step 2: Convert to fraction form
    53,428.68/73,732.68 = 32,203.44/x
  3. Step 3: Cross multiply
    53,428.68x = 73,732.68 × 32,203.44
  4. Step 4: Simplify right side
    53,428.68x = 2,374,445,936.42
  5. Step 5: Solve for x
    x = 2,374,445,936.42/53,428.68
  6. Step 6: Final answer
    x = 44,441.41

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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.