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Finding the Fourth Proportional to 92,965.50, 139,470.12 and 30,636

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Solution

The fourth proportional to 92,965.50, 139,470.12 and 30,636 is: 45,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,965.50 : 139,470.12 = 30,636 : x
  2. Step 2: Convert to fraction form
    92,965.50/139,470.12 = 30,636/x
  3. Step 3: Cross multiply
    92,965.50x = 139,470.12 × 30,636
  4. Step 4: Simplify right side
    92,965.50x = 4,272,806,596.32
  5. Step 5: Solve for x
    x = 4,272,806,596.32/92,965.50
  6. Step 6: Final answer
    x = 45,961.21

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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.