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Finding the Fourth Proportional to 82,489.02, 113,834.07 and 44,762.46

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Solution

The fourth proportional to 82,489.02, 113,834.07 and 44,762.46 is: 61,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,489.02 : 113,834.07 = 44,762.46 : x
  2. Step 2: Convert to fraction form
    82,489.02/113,834.07 = 44,762.46/x
  3. Step 3: Cross multiply
    82,489.02x = 113,834.07 × 44,762.46
  4. Step 4: Simplify right side
    82,489.02x = 5,095,493,005.01
  5. Step 5: Solve for x
    x = 5,095,493,005.01/82,489.02
  6. Step 6: Final answer
    x = 61,771.77

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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.