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Finding the Fourth Proportional to 73,782.35, 110,507.01 and 51,694.31

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Solution

The fourth proportional to 73,782.35, 110,507.01 and 51,694.31 is: 77,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782.35 : 110,507.01 = 51,694.31 : x
  2. Step 2: Convert to fraction form
    73,782.35/110,507.01 = 51,694.31/x
  3. Step 3: Cross multiply
    73,782.35x = 110,507.01 × 51,694.31
  4. Step 4: Simplify right side
    73,782.35x = 5,712,583,632.11
  5. Step 5: Solve for x
    x = 5,712,583,632.11/73,782.35
  6. Step 6: Final answer
    x = 77,424.80

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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.