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Finding the Fourth Proportional to 82,304.63, 113,580.41 and 44,578.88

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Solution

The fourth proportional to 82,304.63, 113,580.41 and 44,578.88 is: 61,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,304.63 : 113,580.41 = 44,578.88 : x
  2. Step 2: Convert to fraction form
    82,304.63/113,580.41 = 44,578.88/x
  3. Step 3: Cross multiply
    82,304.63x = 113,580.41 × 44,578.88
  4. Step 4: Simplify right side
    82,304.63x = 5,063,286,676.94
  5. Step 5: Solve for x
    x = 5,063,286,676.94/82,304.63
  6. Step 6: Final answer
    x = 61,518.86

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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.