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Finding the Fourth Proportional to 51,401, 77,062.43 and 35,563.93

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Solution

The fourth proportional to 51,401, 77,062.43 and 35,563.93 is: 53,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,401 : 77,062.43 = 35,563.93 : x
  2. Step 2: Convert to fraction form
    51,401/77,062.43 = 35,563.93/x
  3. Step 3: Cross multiply
    51,401x = 77,062.43 × 35,563.93
  4. Step 4: Simplify right side
    51,401x = 2,740,642,866.15
  5. Step 5: Solve for x
    x = 2,740,642,866.15/51,401
  6. Step 6: Final answer
    x = 53,318.86

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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.