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Finding the Fourth Proportional to 50,532.84, 75,801.82 and 13,597.16

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Solution

The fourth proportional to 50,532.84, 75,801.82 and 13,597.16 is: 20,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,532.84 : 75,801.82 = 13,597.16 : x
  2. Step 2: Convert to fraction form
    50,532.84/75,801.82 = 13,597.16/x
  3. Step 3: Cross multiply
    50,532.84x = 75,801.82 × 13,597.16
  4. Step 4: Simplify right side
    50,532.84x = 1,030,689,474.83
  5. Step 5: Solve for x
    x = 1,030,689,474.83/50,532.84
  6. Step 6: Final answer
    x = 20,396.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.