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Finding the Fourth Proportional to 123,527.44, 185,290.62 and 30,034

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Solution

The fourth proportional to 123,527.44, 185,290.62 and 30,034 is: 45,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,527.44 : 185,290.62 = 30,034 : x
  2. Step 2: Convert to fraction form
    123,527.44/185,290.62 = 30,034/x
  3. Step 3: Cross multiply
    123,527.44x = 185,290.62 × 30,034
  4. Step 4: Simplify right side
    123,527.44x = 5,565,018,481.08
  5. Step 5: Solve for x
    x = 5,565,018,481.08/123,527.44
  6. Step 6: Final answer
    x = 45,050.87

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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.