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Finding the Fourth Proportional to 56,262.38, 77,640.96 and 30,768.02

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Solution

The fourth proportional to 56,262.38, 77,640.96 and 30,768.02 is: 42,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,262.38 : 77,640.96 = 30,768.02 : x
  2. Step 2: Convert to fraction form
    56,262.38/77,640.96 = 30,768.02/x
  3. Step 3: Cross multiply
    56,262.38x = 77,640.96 × 30,768.02
  4. Step 4: Simplify right side
    56,262.38x = 2,388,858,610.10
  5. Step 5: Solve for x
    x = 2,388,858,610.10/56,262.38
  6. Step 6: Final answer
    x = 42,459.25

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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.