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Finding the Fourth Proportional to 77,076.50, 115,638.06 and 54,630.60

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Solution

The fourth proportional to 77,076.50, 115,638.06 and 54,630.60 is: 81,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,076.50 : 115,638.06 = 54,630.60 : x
  2. Step 2: Convert to fraction form
    77,076.50/115,638.06 = 54,630.60/x
  3. Step 3: Cross multiply
    77,076.50x = 115,638.06 × 54,630.60
  4. Step 4: Simplify right side
    77,076.50x = 6,317,376,600.64
  5. Step 5: Solve for x
    x = 6,317,376,600.64/77,076.50
  6. Step 6: Final answer
    x = 81,962.42

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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.