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Finding the Fourth Proportional to 56,769.56, 78,342.01 and 31,619.06

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Solution

The fourth proportional to 56,769.56, 78,342.01 and 31,619.06 is: 43,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,769.56 : 78,342.01 = 31,619.06 : x
  2. Step 2: Convert to fraction form
    56,769.56/78,342.01 = 31,619.06/x
  3. Step 3: Cross multiply
    56,769.56x = 78,342.01 × 31,619.06
  4. Step 4: Simplify right side
    56,769.56x = 2,477,100,714.71
  5. Step 5: Solve for x
    x = 2,477,100,714.71/56,769.56
  6. Step 6: Final answer
    x = 43,634.31

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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.