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Finding the Fourth Proportional to 76,852.23, 106,064.73 and 46,644.90

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Solution

The fourth proportional to 76,852.23, 106,064.73 and 46,644.90 is: 64,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,852.23 : 106,064.73 = 46,644.90 : x
  2. Step 2: Convert to fraction form
    76,852.23/106,064.73 = 46,644.90/x
  3. Step 3: Cross multiply
    76,852.23x = 106,064.73 × 46,644.90
  4. Step 4: Simplify right side
    76,852.23x = 4,947,378,724.38
  5. Step 5: Solve for x
    x = 4,947,378,724.38/76,852.23
  6. Step 6: Final answer
    x = 64,375.21

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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.