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Finding the Fourth Proportional to 74,758.81, 103,169.65 and 40,769.16

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Solution

The fourth proportional to 74,758.81, 103,169.65 and 40,769.16 is: 56,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,758.81 : 103,169.65 = 40,769.16 : x
  2. Step 2: Convert to fraction form
    74,758.81/103,169.65 = 40,769.16/x
  3. Step 3: Cross multiply
    74,758.81x = 103,169.65 × 40,769.16
  4. Step 4: Simplify right side
    74,758.81x = 4,206,139,248.30
  5. Step 5: Solve for x
    x = 4,206,139,248.30/74,758.81
  6. Step 6: Final answer
    x = 56,262.79

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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.