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Finding the Fourth Proportional to 84,374.63, 116,439.41 and 46,651.31

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Solution

The fourth proportional to 84,374.63, 116,439.41 and 46,651.31 is: 64,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,374.63 : 116,439.41 = 46,651.31 : x
  2. Step 2: Convert to fraction form
    84,374.63/116,439.41 = 46,651.31/x
  3. Step 3: Cross multiply
    84,374.63x = 116,439.41 × 46,651.31
  4. Step 4: Simplify right side
    84,374.63x = 5,432,050,546.56
  5. Step 5: Solve for x
    x = 5,432,050,546.56/84,374.63
  6. Step 6: Final answer
    x = 64,380.14

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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.