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Finding the Fourth Proportional to 82,459.31, 113,787.57 and 46,651.63

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Solution

The fourth proportional to 82,459.31, 113,787.57 and 46,651.63 is: 64,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,459.31 : 113,787.57 = 46,651.63 : x
  2. Step 2: Convert to fraction form
    82,459.31/113,787.57 = 46,651.63/x
  3. Step 3: Cross multiply
    82,459.31x = 113,787.57 × 46,651.63
  4. Step 4: Simplify right side
    82,459.31x = 5,308,375,329.77
  5. Step 5: Solve for x
    x = 5,308,375,329.77/82,459.31
  6. Step 6: Final answer
    x = 64,375.70

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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.