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Finding the Fourth Proportional to 55,655.20, 76,804 and 30,162.30

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Solution

The fourth proportional to 55,655.20, 76,804 and 30,162.30 is: 41,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,655.20 : 76,804 = 30,162.30 : x
  2. Step 2: Convert to fraction form
    55,655.20/76,804 = 30,162.30/x
  3. Step 3: Cross multiply
    55,655.20x = 76,804 × 30,162.30
  4. Step 4: Simplify right side
    55,655.20x = 2,316,585,289.20
  5. Step 5: Solve for x
    x = 2,316,585,289.20/55,655.20
  6. Step 6: Final answer
    x = 41,623.88

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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.