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Finding the Fourth Proportional to 92,567.52, 138,852 and 30,238.20

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Solution

The fourth proportional to 92,567.52, 138,852 and 30,238.20 is: 45,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,567.52 : 138,852 = 30,238.20 : x
  2. Step 2: Convert to fraction form
    92,567.52/138,852 = 30,238.20/x
  3. Step 3: Cross multiply
    92,567.52x = 138,852 × 30,238.20
  4. Step 4: Simplify right side
    92,567.52x = 4,198,634,546.40
  5. Step 5: Solve for x
    x = 4,198,634,546.40/92,567.52
  6. Step 6: Final answer
    x = 45,357.54

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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.