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Finding the Fourth Proportional to 55,958.44, 77,221.38 and 30,807.40

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Solution

The fourth proportional to 55,958.44, 77,221.38 and 30,807.40 is: 42,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,958.44 : 77,221.38 = 30,807.40 : x
  2. Step 2: Convert to fraction form
    55,958.44/77,221.38 = 30,807.40/x
  3. Step 3: Cross multiply
    55,958.44x = 77,221.38 × 30,807.40
  4. Step 4: Simplify right side
    55,958.44x = 2,378,989,942.21
  5. Step 5: Solve for x
    x = 2,378,989,942.21/55,958.44
  6. Step 6: Final answer
    x = 42,513.51

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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.