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Finding the Fourth Proportional to 55,357.26, 76,381.38 and 35,206.80

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Solution

The fourth proportional to 55,357.26, 76,381.38 and 35,206.80 is: 48,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,357.26 : 76,381.38 = 35,206.80 : x
  2. Step 2: Convert to fraction form
    55,357.26/76,381.38 = 35,206.80/x
  3. Step 3: Cross multiply
    55,357.26x = 76,381.38 × 35,206.80
  4. Step 4: Simplify right side
    55,357.26x = 2,689,143,969.38
  5. Step 5: Solve for x
    x = 2,689,143,969.38/55,357.26
  6. Step 6: Final answer
    x = 48,577.98

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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.