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Finding the Fourth Proportional to 76,634.48, 105,749.88 and 43,094

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Solution

The fourth proportional to 76,634.48, 105,749.88 and 43,094 is: 59,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,634.48 : 105,749.88 = 43,094 : x
  2. Step 2: Convert to fraction form
    76,634.48/105,749.88 = 43,094/x
  3. Step 3: Cross multiply
    76,634.48x = 105,749.88 × 43,094
  4. Step 4: Simplify right side
    76,634.48x = 4,557,185,328.72
  5. Step 5: Solve for x
    x = 4,557,185,328.72/76,634.48
  6. Step 6: Final answer
    x = 59,466.51

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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.