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Finding the Fourth Proportional to 82,506.30, 113,858.82 and 44,780.64

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Solution

The fourth proportional to 82,506.30, 113,858.82 and 44,780.64 is: 61,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506.30 : 113,858.82 = 44,780.64 : x
  2. Step 2: Convert to fraction form
    82,506.30/113,858.82 = 44,780.64/x
  3. Step 3: Cross multiply
    82,506.30x = 113,858.82 × 44,780.64
  4. Step 4: Simplify right side
    82,506.30x = 5,098,670,829.24
  5. Step 5: Solve for x
    x = 5,098,670,829.24/82,506.30
  6. Step 6: Final answer
    x = 61,797.35

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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.