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Finding the Fourth Proportional to 54,866.84, 75,716.40 and 29,716.34

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Solution

The fourth proportional to 54,866.84, 75,716.40 and 29,716.34 is: 41,008.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,866.84 : 75,716.40 = 29,716.34 : x
  2. Step 2: Convert to fraction form
    54,866.84/75,716.40 = 29,716.34/x
  3. Step 3: Cross multiply
    54,866.84x = 75,716.40 × 29,716.34
  4. Step 4: Simplify right side
    54,866.84x = 2,250,014,285.98
  5. Step 5: Solve for x
    x = 2,250,014,285.98/54,866.84
  6. Step 6: Final answer
    x = 41,008.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.