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Finding the Fourth Proportional to 105,802.38, 158,744.85 and 46,596.42

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Solution

The fourth proportional to 105,802.38, 158,744.85 and 46,596.42 is: 69,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,802.38 : 158,744.85 = 46,596.42 : x
  2. Step 2: Convert to fraction form
    105,802.38/158,744.85 = 46,596.42/x
  3. Step 3: Cross multiply
    105,802.38x = 158,744.85 × 46,596.42
  4. Step 4: Simplify right side
    105,802.38x = 7,396,941,703.44
  5. Step 5: Solve for x
    x = 7,396,941,703.44/105,802.38
  6. Step 6: Final answer
    x = 69,912.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.