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Finding the Fourth Proportional to 55,052.84, 75,972.12 and 30,522.98

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Solution

The fourth proportional to 55,052.84, 75,972.12 and 30,522.98 is: 42,121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,052.84 : 75,972.12 = 30,522.98 : x
  2. Step 2: Convert to fraction form
    55,052.84/75,972.12 = 30,522.98/x
  3. Step 3: Cross multiply
    55,052.84x = 75,972.12 × 30,522.98
  4. Step 4: Simplify right side
    55,052.84x = 2,318,895,499.32
  5. Step 5: Solve for x
    x = 2,318,895,499.32/55,052.84
  6. Step 6: Final answer
    x = 42,121.27

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