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Finding the Fourth Proportional to 67,984.62, 93,818.16 and 37,770

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Solution

The fourth proportional to 67,984.62, 93,818.16 and 37,770 is: 52,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,984.62 : 93,818.16 = 37,770 : x
  2. Step 2: Convert to fraction form
    67,984.62/93,818.16 = 37,770/x
  3. Step 3: Cross multiply
    67,984.62x = 93,818.16 × 37,770
  4. Step 4: Simplify right side
    67,984.62x = 3,543,511,903.20
  5. Step 5: Solve for x
    x = 3,543,511,903.20/67,984.62
  6. Step 6: Final answer
    x = 52,122.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.