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Finding the Fourth Proportional to 30,924.84, 42,711.78 and 20,361.72

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Solution

The fourth proportional to 30,924.84, 42,711.78 and 20,361.72 is: 28,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.84 : 42,711.78 = 20,361.72 : x
  2. Step 2: Convert to fraction form
    30,924.84/42,711.78 = 20,361.72/x
  3. Step 3: Cross multiply
    30,924.84x = 42,711.78 × 20,361.72
  4. Step 4: Simplify right side
    30,924.84x = 869,685,305.06
  5. Step 5: Solve for x
    x = 869,685,305.06/30,924.84
  6. Step 6: Final answer
    x = 28,122.55

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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.