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Finding the Fourth Proportional to 82,076.67, 113,259 and 46,275.48

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Solution

The fourth proportional to 82,076.67, 113,259 and 46,275.48 is: 63,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,076.67 : 113,259 = 46,275.48 : x
  2. Step 2: Convert to fraction form
    82,076.67/113,259 = 46,275.48/x
  3. Step 3: Cross multiply
    82,076.67x = 113,259 × 46,275.48
  4. Step 4: Simplify right side
    82,076.67x = 5,241,114,589.32
  5. Step 5: Solve for x
    x = 5,241,114,589.32/82,076.67
  6. Step 6: Final answer
    x = 63,856.33

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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.