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Finding the Fourth Proportional to 68,527.68, 102,765.60 and 26,952

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Solution

The fourth proportional to 68,527.68, 102,765.60 and 26,952 is: 40,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,527.68 : 102,765.60 = 26,952 : x
  2. Step 2: Convert to fraction form
    68,527.68/102,765.60 = 26,952/x
  3. Step 3: Cross multiply
    68,527.68x = 102,765.60 × 26,952
  4. Step 4: Simplify right side
    68,527.68x = 2,769,738,451.20
  5. Step 5: Solve for x
    x = 2,769,738,451.20/68,527.68
  6. Step 6: Final answer
    x = 40,417.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.