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Finding the Fourth Proportional to 74,382.46, 102,647.79 and 40,390.78

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Solution

The fourth proportional to 74,382.46, 102,647.79 and 40,390.78 is: 55,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,382.46 : 102,647.79 = 40,390.78 : x
  2. Step 2: Convert to fraction form
    74,382.46/102,647.79 = 40,390.78/x
  3. Step 3: Cross multiply
    74,382.46x = 102,647.79 × 40,390.78
  4. Step 4: Simplify right side
    74,382.46x = 4,146,024,303.38
  5. Step 5: Solve for x
    x = 4,146,024,303.38/74,382.46
  6. Step 6: Final answer
    x = 55,739.27

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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.