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Finding the Fourth Proportional to 56,742, 78,304.08 and 31,597.44

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Solution

The fourth proportional to 56,742, 78,304.08 and 31,597.44 is: 43,604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,742 : 78,304.08 = 31,597.44 : x
  2. Step 2: Convert to fraction form
    56,742/78,304.08 = 31,597.44/x
  3. Step 3: Cross multiply
    56,742x = 78,304.08 × 31,597.44
  4. Step 4: Simplify right side
    56,742x = 2,474,208,469.56
  5. Step 5: Solve for x
    x = 2,474,208,469.56/56,742
  6. Step 6: Final answer
    x = 43,604.53

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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.