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Finding the Fourth Proportional to 74,769.81, 103,180.80 and 41,235.81

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Solution

The fourth proportional to 74,769.81, 103,180.80 and 41,235.81 is: 56,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,769.81 : 103,180.80 = 41,235.81 : x
  2. Step 2: Convert to fraction form
    74,769.81/103,180.80 = 41,235.81/x
  3. Step 3: Cross multiply
    74,769.81x = 103,180.80 × 41,235.81
  4. Step 4: Simplify right side
    74,769.81x = 4,254,743,864.45
  5. Step 5: Solve for x
    x = 4,254,743,864.45/74,769.81
  6. Step 6: Final answer
    x = 56,904.57

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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.