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Finding the Fourth Proportional to 82,409.04, 113,724 and 44,682.48

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Solution

The fourth proportional to 82,409.04, 113,724 and 44,682.48 is: 61,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,409.04 : 113,724 = 44,682.48 : x
  2. Step 2: Convert to fraction form
    82,409.04/113,724 = 44,682.48/x
  3. Step 3: Cross multiply
    82,409.04x = 113,724 × 44,682.48
  4. Step 4: Simplify right side
    82,409.04x = 5,081,470,355.52
  5. Step 5: Solve for x
    x = 5,081,470,355.52/82,409.04
  6. Step 6: Final answer
    x = 61,661.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.