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Finding the Fourth Proportional to 82,020.14, 112,449.58 and 80,525.45

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Solution

The fourth proportional to 82,020.14, 112,449.58 and 80,525.45 is: 110,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,020.14 : 112,449.58 = 80,525.45 : x
  2. Step 2: Convert to fraction form
    82,020.14/112,449.58 = 80,525.45/x
  3. Step 3: Cross multiply
    82,020.14x = 112,449.58 × 80,525.45
  4. Step 4: Simplify right side
    82,020.14x = 9,055,053,031.81
  5. Step 5: Solve for x
    x = 9,055,053,031.81/82,020.14
  6. Step 6: Final answer
    x = 110,400.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.