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Finding the Fourth Proportional to 90,876.49, 136,305 and 31,713.28

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Solution

The fourth proportional to 90,876.49, 136,305 and 31,713.28 is: 47,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,876.49 : 136,305 = 31,713.28 : x
  2. Step 2: Convert to fraction form
    90,876.49/136,305 = 31,713.28/x
  3. Step 3: Cross multiply
    90,876.49x = 136,305 × 31,713.28
  4. Step 4: Simplify right side
    90,876.49x = 4,322,678,630.40
  5. Step 5: Solve for x
    x = 4,322,678,630.40/90,876.49
  6. Step 6: Final answer
    x = 47,566.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.