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Finding the Fourth Proportional to 82,325.84, 113,652.06 and 52,142.72

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Solution

The fourth proportional to 82,325.84, 113,652.06 and 52,142.72 is: 71,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,325.84 : 113,652.06 = 52,142.72 : x
  2. Step 2: Convert to fraction form
    82,325.84/113,652.06 = 52,142.72/x
  3. Step 3: Cross multiply
    82,325.84x = 113,652.06 × 52,142.72
  4. Step 4: Simplify right side
    82,325.84x = 5,926,127,542.00
  5. Step 5: Solve for x
    x = 5,926,127,542.00/82,325.84
  6. Step 6: Final answer
    x = 71,983.81

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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.