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Finding the Fourth Proportional to 54,757, 75,564.52 and 29,606.50

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Solution

The fourth proportional to 54,757, 75,564.52 and 29,606.50 is: 40,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,757 : 75,564.52 = 29,606.50 : x
  2. Step 2: Convert to fraction form
    54,757/75,564.52 = 29,606.50/x
  3. Step 3: Cross multiply
    54,757x = 75,564.52 × 29,606.50
  4. Step 4: Simplify right side
    54,757x = 2,237,200,961.38
  5. Step 5: Solve for x
    x = 2,237,200,961.38/54,757
  6. Step 6: Final answer
    x = 40,856.89

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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.