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Finding the Fourth Proportional to 76,791.70, 105,965.13 and 46,173.70

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Solution

The fourth proportional to 76,791.70, 105,965.13 and 46,173.70 is: 63,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,791.70 : 105,965.13 = 46,173.70 : x
  2. Step 2: Convert to fraction form
    76,791.70/105,965.13 = 46,173.70/x
  3. Step 3: Cross multiply
    76,791.70x = 105,965.13 × 46,173.70
  4. Step 4: Simplify right side
    76,791.70x = 4,892,802,123.08
  5. Step 5: Solve for x
    x = 4,892,802,123.08/76,791.70
  6. Step 6: Final answer
    x = 63,715.25

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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.