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Finding the Fourth Proportional to 73,846.49, 110,602.94 and 51,758.19

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Solution

The fourth proportional to 73,846.49, 110,602.94 and 51,758.19 is: 77,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,846.49 : 110,602.94 = 51,758.19 : x
  2. Step 2: Convert to fraction form
    73,846.49/110,602.94 = 51,758.19/x
  3. Step 3: Cross multiply
    73,846.49x = 110,602.94 × 51,758.19
  4. Step 4: Simplify right side
    73,846.49x = 5,724,607,724.29
  5. Step 5: Solve for x
    x = 5,724,607,724.29/73,846.49
  6. Step 6: Final answer
    x = 77,520.38

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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.