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Finding the Fourth Proportional to 82,541.02, 113,905.02 and 48,553.22

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Solution

The fourth proportional to 82,541.02, 113,905.02 and 48,553.22 is: 67,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,541.02 : 113,905.02 = 48,553.22 : x
  2. Step 2: Convert to fraction form
    82,541.02/113,905.02 = 48,553.22/x
  3. Step 3: Cross multiply
    82,541.02x = 113,905.02 × 48,553.22
  4. Step 4: Simplify right side
    82,541.02x = 5,530,455,534.86
  5. Step 5: Solve for x
    x = 5,530,455,534.86/82,541.02
  6. Step 6: Final answer
    x = 67,002.51

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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.