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Finding the Fourth Proportional to 55,673.76, 76,829.67 and 30,523.26

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Solution

The fourth proportional to 55,673.76, 76,829.67 and 30,523.26 is: 42,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,673.76 : 76,829.67 = 30,523.26 : x
  2. Step 2: Convert to fraction form
    55,673.76/76,829.67 = 30,523.26/x
  3. Step 3: Cross multiply
    55,673.76x = 76,829.67 × 30,523.26
  4. Step 4: Simplify right side
    55,673.76x = 2,345,091,993.12
  5. Step 5: Solve for x
    x = 2,345,091,993.12/55,673.76
  6. Step 6: Final answer
    x = 42,122.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.