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Finding the Fourth Proportional to 82,185.75, 113,416.47 and 44,460

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Solution

The fourth proportional to 82,185.75, 113,416.47 and 44,460 is: 61,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,185.75 : 113,416.47 = 44,460 : x
  2. Step 2: Convert to fraction form
    82,185.75/113,416.47 = 44,460/x
  3. Step 3: Cross multiply
    82,185.75x = 113,416.47 × 44,460
  4. Step 4: Simplify right side
    82,185.75x = 5,042,496,256.20
  5. Step 5: Solve for x
    x = 5,042,496,256.20/82,185.75
  6. Step 6: Final answer
    x = 61,354.87

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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.