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Finding the Fourth Proportional to 82,455.50, 113,786.40 and 45,660.44

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Solution

The fourth proportional to 82,455.50, 113,786.40 and 45,660.44 is: 63,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,455.50 : 113,786.40 = 45,660.44 : x
  2. Step 2: Convert to fraction form
    82,455.50/113,786.40 = 45,660.44/x
  3. Step 3: Cross multiply
    82,455.50x = 113,786.40 × 45,660.44
  4. Step 4: Simplify right side
    82,455.50x = 5,195,537,090.02
  5. Step 5: Solve for x
    x = 5,195,537,090.02/82,455.50
  6. Step 6: Final answer
    x = 63,010.19

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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.