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Finding the Fourth Proportional to 30,520.64, 42,119.52 and 17,946.56

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Solution

The fourth proportional to 30,520.64, 42,119.52 and 17,946.56 is: 24,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,520.64 : 42,119.52 = 17,946.56 : x
  2. Step 2: Convert to fraction form
    30,520.64/42,119.52 = 17,946.56/x
  3. Step 3: Cross multiply
    30,520.64x = 42,119.52 × 17,946.56
  4. Step 4: Simplify right side
    30,520.64x = 755,900,492.85
  5. Step 5: Solve for x
    x = 755,900,492.85/30,520.64
  6. Step 6: Final answer
    x = 24,766.86

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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.