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Finding the Fourth Proportional to 55,570.38, 76,689 and 30,419.88

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Solution

The fourth proportional to 55,570.38, 76,689 and 30,419.88 is: 41,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,570.38 : 76,689 = 30,419.88 : x
  2. Step 2: Convert to fraction form
    55,570.38/76,689 = 30,419.88/x
  3. Step 3: Cross multiply
    55,570.38x = 76,689 × 30,419.88
  4. Step 4: Simplify right side
    55,570.38x = 2,332,870,177.32
  5. Step 5: Solve for x
    x = 2,332,870,177.32/55,570.38
  6. Step 6: Final answer
    x = 41,980.46

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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.