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Finding the Fourth Proportional to 74,097.63, 102,254.73 and 40,563.63

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Solution

The fourth proportional to 74,097.63, 102,254.73 and 40,563.63 is: 55,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,097.63 : 102,254.73 = 40,563.63 : x
  2. Step 2: Convert to fraction form
    74,097.63/102,254.73 = 40,563.63/x
  3. Step 3: Cross multiply
    74,097.63x = 102,254.73 × 40,563.63
  4. Step 4: Simplify right side
    74,097.63x = 4,147,822,420.79
  5. Step 5: Solve for x
    x = 4,147,822,420.79/74,097.63
  6. Step 6: Final answer
    x = 55,977.81

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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.