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Finding the Fourth Proportional to 90,914.13, 136,393.20 and 30,942

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Solution

The fourth proportional to 90,914.13, 136,393.20 and 30,942 is: 46,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,914.13 : 136,393.20 = 30,942 : x
  2. Step 2: Convert to fraction form
    90,914.13/136,393.20 = 30,942/x
  3. Step 3: Cross multiply
    90,914.13x = 136,393.20 × 30,942
  4. Step 4: Simplify right side
    90,914.13x = 4,220,278,394.40
  5. Step 5: Solve for x
    x = 4,220,278,394.40/90,914.13
  6. Step 6: Final answer
    x = 46,420.49

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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.