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Finding the Fourth Proportional to 82,094.46, 113,236.40 and 56,601.90

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Solution

The fourth proportional to 82,094.46, 113,236.40 and 56,601.90 is: 78,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,094.46 : 113,236.40 = 56,601.90 : x
  2. Step 2: Convert to fraction form
    82,094.46/113,236.40 = 56,601.90/x
  3. Step 3: Cross multiply
    82,094.46x = 113,236.40 × 56,601.90
  4. Step 4: Simplify right side
    82,094.46x = 6,409,395,389.16
  5. Step 5: Solve for x
    x = 6,409,395,389.16/82,094.46
  6. Step 6: Final answer
    x = 78,073.42

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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.