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Finding the Fourth Proportional to 30,905.34, 42,650.20 and 17,478.60

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Solution

The fourth proportional to 30,905.34, 42,650.20 and 17,478.60 is: 24,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,905.34 : 42,650.20 = 17,478.60 : x
  2. Step 2: Convert to fraction form
    30,905.34/42,650.20 = 17,478.60/x
  3. Step 3: Cross multiply
    30,905.34x = 42,650.20 × 17,478.60
  4. Step 4: Simplify right side
    30,905.34x = 745,465,785.72
  5. Step 5: Solve for x
    x = 745,465,785.72/30,905.34
  6. Step 6: Final answer
    x = 24,120.94

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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.