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Finding the Fourth Proportional to 56,770.54, 78,342.33 and 31,619.50

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Solution

The fourth proportional to 56,770.54, 78,342.33 and 31,619.50 is: 43,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,770.54 : 78,342.33 = 31,619.50 : x
  2. Step 2: Convert to fraction form
    56,770.54/78,342.33 = 31,619.50/x
  3. Step 3: Cross multiply
    56,770.54x = 78,342.33 × 31,619.50
  4. Step 4: Simplify right side
    56,770.54x = 2,477,145,303.44
  5. Step 5: Solve for x
    x = 2,477,145,303.44/56,770.54
  6. Step 6: Final answer
    x = 43,634.34

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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.