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Finding the Fourth Proportional to 30,678, 42,318.32 and 19,328

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Solution

The fourth proportional to 30,678, 42,318.32 and 19,328 is: 26,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678 : 42,318.32 = 19,328 : x
  2. Step 2: Convert to fraction form
    30,678/42,318.32 = 19,328/x
  3. Step 3: Cross multiply
    30,678x = 42,318.32 × 19,328
  4. Step 4: Simplify right side
    30,678x = 817,928,488.96
  5. Step 5: Solve for x
    x = 817,928,488.96/30,678
  6. Step 6: Final answer
    x = 26,661.73

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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.