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Finding the Fourth Proportional to 30,478.37, 42,059.20 and 16,865.59

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Solution

The fourth proportional to 30,478.37, 42,059.20 and 16,865.59 is: 23,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.37 : 42,059.20 = 16,865.59 : x
  2. Step 2: Convert to fraction form
    30,478.37/42,059.20 = 16,865.59/x
  3. Step 3: Cross multiply
    30,478.37x = 42,059.20 × 16,865.59
  4. Step 4: Simplify right side
    30,478.37x = 709,353,233.34
  5. Step 5: Solve for x
    x = 709,353,233.34/30,478.37
  6. Step 6: Final answer
    x = 23,273.99

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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.