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Finding the Fourth Proportional to 30,455.84, 42,013.67 and 20,384.70

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Solution

The fourth proportional to 30,455.84, 42,013.67 and 20,384.70 is: 28,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,455.84 : 42,013.67 = 20,384.70 : x
  2. Step 2: Convert to fraction form
    30,455.84/42,013.67 = 20,384.70/x
  3. Step 3: Cross multiply
    30,455.84x = 42,013.67 × 20,384.70
  4. Step 4: Simplify right side
    30,455.84x = 856,435,956.93
  5. Step 5: Solve for x
    x = 856,435,956.93/30,455.84
  6. Step 6: Final answer
    x = 28,120.59

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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.