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Finding the Fourth Proportional to 92,085.50, 138,149.68 and 28,902.16

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Solution

The fourth proportional to 92,085.50, 138,149.68 and 28,902.16 is: 43,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,085.50 : 138,149.68 = 28,902.16 : x
  2. Step 2: Convert to fraction form
    92,085.50/138,149.68 = 28,902.16/x
  3. Step 3: Cross multiply
    92,085.50x = 138,149.68 × 28,902.16
  4. Step 4: Simplify right side
    92,085.50x = 3,992,824,155.31
  5. Step 5: Solve for x
    x = 3,992,824,155.31/92,085.50
  6. Step 6: Final answer
    x = 43,359.97

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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.