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Finding the Fourth Proportional to 92,090.92, 137,839.26 and 47,656.60

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Solution

The fourth proportional to 92,090.92, 137,839.26 and 47,656.60 is: 71,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,090.92 : 137,839.26 = 47,656.60 : x
  2. Step 2: Convert to fraction form
    92,090.92/137,839.26 = 47,656.60/x
  3. Step 3: Cross multiply
    92,090.92x = 137,839.26 × 47,656.60
  4. Step 4: Simplify right side
    92,090.92x = 6,568,950,478.12
  5. Step 5: Solve for x
    x = 6,568,950,478.12/92,090.92
  6. Step 6: Final answer
    x = 71,331.14

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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.