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Finding the Fourth Proportional to 51,175.34, 76,730.22 and 35,336

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Solution

The fourth proportional to 51,175.34, 76,730.22 and 35,336 is: 52,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,175.34 : 76,730.22 = 35,336 : x
  2. Step 2: Convert to fraction form
    51,175.34/76,730.22 = 35,336/x
  3. Step 3: Cross multiply
    51,175.34x = 76,730.22 × 35,336
  4. Step 4: Simplify right side
    51,175.34x = 2,711,339,053.92
  5. Step 5: Solve for x
    x = 2,711,339,053.92/51,175.34
  6. Step 6: Final answer
    x = 52,981.36

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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.