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Finding the Fourth Proportional to 92,080.67, 137,821.32 and 51,487.22

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Solution

The fourth proportional to 92,080.67, 137,821.32 and 51,487.22 is: 77,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,080.67 : 137,821.32 = 51,487.22 : x
  2. Step 2: Convert to fraction form
    92,080.67/137,821.32 = 51,487.22/x
  3. Step 3: Cross multiply
    92,080.67x = 137,821.32 × 51,487.22
  4. Step 4: Simplify right side
    92,080.67x = 7,096,036,725.27
  5. Step 5: Solve for x
    x = 7,096,036,725.27/92,080.67
  6. Step 6: Final answer
    x = 77,063.26

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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.