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Finding the Fourth Proportional to 82,481.34, 113,824.27 and 46,670.64

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Solution

The fourth proportional to 82,481.34, 113,824.27 and 46,670.64 is: 64,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481.34 : 113,824.27 = 46,670.64 : x
  2. Step 2: Convert to fraction form
    82,481.34/113,824.27 = 46,670.64/x
  3. Step 3: Cross multiply
    82,481.34x = 113,824.27 × 46,670.64
  4. Step 4: Simplify right side
    82,481.34x = 5,312,251,528.43
  5. Step 5: Solve for x
    x = 5,312,251,528.43/82,481.34
  6. Step 6: Final answer
    x = 64,405.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.