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Finding the Fourth Proportional to 105,424.38, 145,489.26 and 57,677.76

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Solution

The fourth proportional to 105,424.38, 145,489.26 and 57,677.76 is: 79,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424.38 : 145,489.26 = 57,677.76 : x
  2. Step 2: Convert to fraction form
    105,424.38/145,489.26 = 57,677.76/x
  3. Step 3: Cross multiply
    105,424.38x = 145,489.26 × 57,677.76
  4. Step 4: Simplify right side
    105,424.38x = 8,391,494,620.86
  5. Step 5: Solve for x
    x = 8,391,494,620.86/105,424.38
  6. Step 6: Final answer
    x = 79,597.29

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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.