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Finding the Fourth Proportional to 34,284.40, 47,311.56 and 19,380.40

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Solution

The fourth proportional to 34,284.40, 47,311.56 and 19,380.40 is: 26,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,284.40 : 47,311.56 = 19,380.40 : x
  2. Step 2: Convert to fraction form
    34,284.40/47,311.56 = 19,380.40/x
  3. Step 3: Cross multiply
    34,284.40x = 47,311.56 × 19,380.40
  4. Step 4: Simplify right side
    34,284.40x = 916,916,957.42
  5. Step 5: Solve for x
    x = 916,916,957.42/34,284.40
  6. Step 6: Final answer
    x = 26,744.44

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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.