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Finding the Fourth Proportional to 82,789.50, 114,249.51 and 45,064.02

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Solution

The fourth proportional to 82,789.50, 114,249.51 and 45,064.02 is: 62,188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,789.50 : 114,249.51 = 45,064.02 : x
  2. Step 2: Convert to fraction form
    82,789.50/114,249.51 = 45,064.02/x
  3. Step 3: Cross multiply
    82,789.50x = 114,249.51 × 45,064.02
  4. Step 4: Simplify right side
    82,789.50x = 5,148,542,203.63
  5. Step 5: Solve for x
    x = 5,148,542,203.63/82,789.50
  6. Step 6: Final answer
    x = 62,188.35

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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.