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Finding the Fourth Proportional to 98,512, 147,729.72 and 31,936.08

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Solution

The fourth proportional to 98,512, 147,729.72 and 31,936.08 is: 47,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,512 : 147,729.72 = 31,936.08 : x
  2. Step 2: Convert to fraction form
    98,512/147,729.72 = 31,936.08/x
  3. Step 3: Cross multiply
    98,512x = 147,729.72 × 31,936.08
  4. Step 4: Simplify right side
    98,512x = 4,717,908,156.30
  5. Step 5: Solve for x
    x = 4,717,908,156.30/98,512
  6. Step 6: Final answer
    x = 47,891.71

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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.