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Finding the Fourth Proportional to 82,893.34, 124,359.44 and 32,976.28

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Solution

The fourth proportional to 82,893.34, 124,359.44 and 32,976.28 is: 49,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.34 : 124,359.44 = 32,976.28 : x
  2. Step 2: Convert to fraction form
    82,893.34/124,359.44 = 32,976.28/x
  3. Step 3: Cross multiply
    82,893.34x = 124,359.44 × 32,976.28
  4. Step 4: Simplify right side
    82,893.34x = 4,100,911,714.08
  5. Step 5: Solve for x
    x = 4,100,911,714.08/82,893.34
  6. Step 6: Final answer
    x = 49,472.15

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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.