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Finding the Fourth Proportional to 100,675.08, 151,013.10 and 30,555

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Solution

The fourth proportional to 100,675.08, 151,013.10 and 30,555 is: 45,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,675.08 : 151,013.10 = 30,555 : x
  2. Step 2: Convert to fraction form
    100,675.08/151,013.10 = 30,555/x
  3. Step 3: Cross multiply
    100,675.08x = 151,013.10 × 30,555
  4. Step 4: Simplify right side
    100,675.08x = 4,614,205,270.50
  5. Step 5: Solve for x
    x = 4,614,205,270.50/100,675.08
  6. Step 6: Final answer
    x = 45,832.65

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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.