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Finding the Fourth Proportional to 55,580.34, 76,693.71 and 31,705.59

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Solution

The fourth proportional to 55,580.34, 76,693.71 and 31,705.59 is: 43,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,580.34 : 76,693.71 = 31,705.59 : x
  2. Step 2: Convert to fraction form
    55,580.34/76,693.71 = 31,705.59/x
  3. Step 3: Cross multiply
    55,580.34x = 76,693.71 × 31,705.59
  4. Step 4: Simplify right side
    55,580.34x = 2,431,619,324.84
  5. Step 5: Solve for x
    x = 2,431,619,324.84/55,580.34
  6. Step 6: Final answer
    x = 43,749.63

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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.