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Finding the Fourth Proportional to 30,892.87, 42,667.59 and 20,329.66

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Solution

The fourth proportional to 30,892.87, 42,667.59 and 20,329.66 is: 28,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.87 : 42,667.59 = 20,329.66 : x
  2. Step 2: Convert to fraction form
    30,892.87/42,667.59 = 20,329.66/x
  3. Step 3: Cross multiply
    30,892.87x = 42,667.59 × 20,329.66
  4. Step 4: Simplify right side
    30,892.87x = 867,417,597.72
  5. Step 5: Solve for x
    x = 867,417,597.72/30,892.87
  6. Step 6: Final answer
    x = 28,078.25

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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.