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Finding the Fourth Proportional to 82,898.72, 124,322.16 and 36,104.48

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Solution

The fourth proportional to 82,898.72, 124,322.16 and 36,104.48 is: 54,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,898.72 : 124,322.16 = 36,104.48 : x
  2. Step 2: Convert to fraction form
    82,898.72/124,322.16 = 36,104.48/x
  3. Step 3: Cross multiply
    82,898.72x = 124,322.16 × 36,104.48
  4. Step 4: Simplify right side
    82,898.72x = 4,488,586,939.28
  5. Step 5: Solve for x
    x = 4,488,586,939.28/82,898.72
  6. Step 6: Final answer
    x = 54,145.43

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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.