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Finding the Fourth Proportional to 82,425.80, 113,662.14 and 70,528.52

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Solution

The fourth proportional to 82,425.80, 113,662.14 and 70,528.52 is: 97,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,425.80 : 113,662.14 = 70,528.52 : x
  2. Step 2: Convert to fraction form
    82,425.80/113,662.14 = 70,528.52/x
  3. Step 3: Cross multiply
    82,425.80x = 113,662.14 × 70,528.52
  4. Step 4: Simplify right side
    82,425.80x = 8,016,422,514.23
  5. Step 5: Solve for x
    x = 8,016,422,514.23/82,425.80
  6. Step 6: Final answer
    x = 97,256.23

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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.