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Finding the Fourth Proportional to 142,348.44, 213,450.12 and 47,544.48

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Solution

The fourth proportional to 142,348.44, 213,450.12 and 47,544.48 is: 71,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,348.44 : 213,450.12 = 47,544.48 : x
  2. Step 2: Convert to fraction form
    142,348.44/213,450.12 = 47,544.48/x
  3. Step 3: Cross multiply
    142,348.44x = 213,450.12 × 47,544.48
  4. Step 4: Simplify right side
    142,348.44x = 10,148,374,961.34
  5. Step 5: Solve for x
    x = 10,148,374,961.34/142,348.44
  6. Step 6: Final answer
    x = 71,292.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.