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Finding the Fourth Proportional to 92,092.80, 138,090.60 and 32,930.40

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Solution

The fourth proportional to 92,092.80, 138,090.60 and 32,930.40 is: 49,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,092.80 : 138,090.60 = 32,930.40 : x
  2. Step 2: Convert to fraction form
    92,092.80/138,090.60 = 32,930.40/x
  3. Step 3: Cross multiply
    92,092.80x = 138,090.60 × 32,930.40
  4. Step 4: Simplify right side
    92,092.80x = 4,547,378,694.24
  5. Step 5: Solve for x
    x = 4,547,378,694.24/92,092.80
  6. Step 6: Final answer
    x = 49,378.22

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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.