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Finding the Fourth Proportional to 94,139.70, 141,202.41 and 30,961.88

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Solution

The fourth proportional to 94,139.70, 141,202.41 and 30,961.88 is: 46,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,139.70 : 141,202.41 = 30,961.88 : x
  2. Step 2: Convert to fraction form
    94,139.70/141,202.41 = 30,961.88/x
  3. Step 3: Cross multiply
    94,139.70x = 141,202.41 × 30,961.88
  4. Step 4: Simplify right side
    94,139.70x = 4,371,891,781.52
  5. Step 5: Solve for x
    x = 4,371,891,781.52/94,139.70
  6. Step 6: Final answer
    x = 46,440.47

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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.