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Finding the Fourth Proportional to 82,374.62, 113,675.74 and 46,563.37

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Solution

The fourth proportional to 82,374.62, 113,675.74 and 46,563.37 is: 64,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,374.62 : 113,675.74 = 46,563.37 : x
  2. Step 2: Convert to fraction form
    82,374.62/113,675.74 = 46,563.37/x
  3. Step 3: Cross multiply
    82,374.62x = 113,675.74 × 46,563.37
  4. Step 4: Simplify right side
    82,374.62x = 5,293,125,141.05
  5. Step 5: Solve for x
    x = 5,293,125,141.05/82,374.62
  6. Step 6: Final answer
    x = 64,256.75

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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.