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Finding the Fourth Proportional to 82,992.26, 114,525.86 and 45,266.52

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Solution

The fourth proportional to 82,992.26, 114,525.86 and 45,266.52 is: 62,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,992.26 : 114,525.86 = 45,266.52 : x
  2. Step 2: Convert to fraction form
    82,992.26/114,525.86 = 45,266.52/x
  3. Step 3: Cross multiply
    82,992.26x = 114,525.86 × 45,266.52
  4. Step 4: Simplify right side
    82,992.26x = 5,184,187,132.21
  5. Step 5: Solve for x
    x = 5,184,187,132.21/82,992.26
  6. Step 6: Final answer
    x = 62,465.91

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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.