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Finding the Fourth Proportional to 113,778.50, 170,667.75 and 30,672.50

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Solution

The fourth proportional to 113,778.50, 170,667.75 and 30,672.50 is: 46,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,778.50 : 170,667.75 = 30,672.50 : x
  2. Step 2: Convert to fraction form
    113,778.50/170,667.75 = 30,672.50/x
  3. Step 3: Cross multiply
    113,778.50x = 170,667.75 × 30,672.50
  4. Step 4: Simplify right side
    113,778.50x = 5,234,806,561.88
  5. Step 5: Solve for x
    x = 5,234,806,561.88/113,778.50
  6. Step 6: Final answer
    x = 46,008.75

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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.