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Finding the Fourth Proportional to 82,367.52, 123,477.96 and 29,765.28

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Solution

The fourth proportional to 82,367.52, 123,477.96 and 29,765.28 is: 44,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,367.52 : 123,477.96 = 29,765.28 : x
  2. Step 2: Convert to fraction form
    82,367.52/123,477.96 = 29,765.28/x
  3. Step 3: Cross multiply
    82,367.52x = 123,477.96 × 29,765.28
  4. Step 4: Simplify right side
    82,367.52x = 3,675,356,053.23
  5. Step 5: Solve for x
    x = 3,675,356,053.23/82,367.52
  6. Step 6: Final answer
    x = 44,621.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.