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Finding the Fourth Proportional to 73,996, 102,114.48 and 40,462

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Solution

The fourth proportional to 73,996, 102,114.48 and 40,462 is: 55,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,996 : 102,114.48 = 40,462 : x
  2. Step 2: Convert to fraction form
    73,996/102,114.48 = 40,462/x
  3. Step 3: Cross multiply
    73,996x = 102,114.48 × 40,462
  4. Step 4: Simplify right side
    73,996x = 4,131,756,089.76
  5. Step 5: Solve for x
    x = 4,131,756,089.76/73,996
  6. Step 6: Final answer
    x = 55,837.56

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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.