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Finding the Fourth Proportional to 73,657.63, 110,534.87 and 40,401

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Solution

The fourth proportional to 73,657.63, 110,534.87 and 40,401 is: 60,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,657.63 : 110,534.87 = 40,401 : x
  2. Step 2: Convert to fraction form
    73,657.63/110,534.87 = 40,401/x
  3. Step 3: Cross multiply
    73,657.63x = 110,534.87 × 40,401
  4. Step 4: Simplify right side
    73,657.63x = 4,465,719,080.87
  5. Step 5: Solve for x
    x = 4,465,719,080.87/73,657.63
  6. Step 6: Final answer
    x = 60,628.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.