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Finding the Fourth Proportional to 82,343.88, 113,635.44 and 46,534.32

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Solution

The fourth proportional to 82,343.88, 113,635.44 and 46,534.32 is: 64,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,343.88 : 113,635.44 = 46,534.32 : x
  2. Step 2: Convert to fraction form
    82,343.88/113,635.44 = 46,534.32/x
  3. Step 3: Cross multiply
    82,343.88x = 113,635.44 × 46,534.32
  4. Step 4: Simplify right side
    82,343.88x = 5,287,947,928.30
  5. Step 5: Solve for x
    x = 5,287,947,928.30/82,343.88
  6. Step 6: Final answer
    x = 64,217.86

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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.