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Finding the Fourth Proportional to 54,618.34, 75,373.47 and 30,745.38

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Solution

The fourth proportional to 54,618.34, 75,373.47 and 30,745.38 is: 42,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,618.34 : 75,373.47 = 30,745.38 : x
  2. Step 2: Convert to fraction form
    54,618.34/75,373.47 = 30,745.38/x
  3. Step 3: Cross multiply
    54,618.34x = 75,373.47 × 30,745.38
  4. Step 4: Simplify right side
    54,618.34x = 2,317,385,977.07
  5. Step 5: Solve for x
    x = 2,317,385,977.07/54,618.34
  6. Step 6: Final answer
    x = 42,428.71

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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.