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Finding the Fourth Proportional to 30,591.80, 42,172 and 21,623.48

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Solution

The fourth proportional to 30,591.80, 42,172 and 21,623.48 is: 29,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591.80 : 42,172 = 21,623.48 : x
  2. Step 2: Convert to fraction form
    30,591.80/42,172 = 21,623.48/x
  3. Step 3: Cross multiply
    30,591.80x = 42,172 × 21,623.48
  4. Step 4: Simplify right side
    30,591.80x = 911,905,398.56
  5. Step 5: Solve for x
    x = 911,905,398.56/30,591.80
  6. Step 6: Final answer
    x = 29,808.82

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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.