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Finding the Fourth Proportional to 82,048.39, 113,247.84 and 53,439.34

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Solution

The fourth proportional to 82,048.39, 113,247.84 and 53,439.34 is: 73,760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,048.39 : 113,247.84 = 53,439.34 : x
  2. Step 2: Convert to fraction form
    82,048.39/113,247.84 = 53,439.34/x
  3. Step 3: Cross multiply
    82,048.39x = 113,247.84 × 53,439.34
  4. Step 4: Simplify right side
    82,048.39x = 6,051,889,542.91
  5. Step 5: Solve for x
    x = 6,051,889,542.91/82,048.39
  6. Step 6: Final answer
    x = 73,760.01

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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.