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Finding the Fourth Proportional to 80,701, 121,070.94 and 25,297

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Solution

The fourth proportional to 80,701, 121,070.94 and 25,297 is: 37,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,701 : 121,070.94 = 25,297 : x
  2. Step 2: Convert to fraction form
    80,701/121,070.94 = 25,297/x
  3. Step 3: Cross multiply
    80,701x = 121,070.94 × 25,297
  4. Step 4: Simplify right side
    80,701x = 3,062,731,569.18
  5. Step 5: Solve for x
    x = 3,062,731,569.18/80,701
  6. Step 6: Final answer
    x = 37,951.59

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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.