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Finding the Fourth Proportional to 57,351.84, 86,043.12 and 51,868.32

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Solution

The fourth proportional to 57,351.84, 86,043.12 and 51,868.32 is: 77,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,351.84 : 86,043.12 = 51,868.32 : x
  2. Step 2: Convert to fraction form
    57,351.84/86,043.12 = 51,868.32/x
  3. Step 3: Cross multiply
    57,351.84x = 86,043.12 × 51,868.32
  4. Step 4: Simplify right side
    57,351.84x = 4,462,912,081.96
  5. Step 5: Solve for x
    x = 4,462,912,081.96/57,351.84
  6. Step 6: Final answer
    x = 77,816.37

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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.