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Finding the Fourth Proportional to 105,418.90, 145,471.89 and 57,662.74

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Solution

The fourth proportional to 105,418.90, 145,471.89 and 57,662.74 is: 79,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,418.90 : 145,471.89 = 57,662.74 : x
  2. Step 2: Convert to fraction form
    105,418.90/145,471.89 = 57,662.74/x
  3. Step 3: Cross multiply
    105,418.90x = 145,471.89 × 57,662.74
  4. Step 4: Simplify right side
    105,418.90x = 8,388,307,770.38
  5. Step 5: Solve for x
    x = 8,388,307,770.38/105,418.90
  6. Step 6: Final answer
    x = 79,571.19

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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.