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Finding the Fourth Proportional to 35,730.26, 49,250.94 and 28,164.32

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Solution

The fourth proportional to 35,730.26, 49,250.94 and 28,164.32 is: 38,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730.26 : 49,250.94 = 28,164.32 : x
  2. Step 2: Convert to fraction form
    35,730.26/49,250.94 = 28,164.32/x
  3. Step 3: Cross multiply
    35,730.26x = 49,250.94 × 28,164.32
  4. Step 4: Simplify right side
    35,730.26x = 1,387,119,234.46
  5. Step 5: Solve for x
    x = 1,387,119,234.46/35,730.26
  6. Step 6: Final answer
    x = 38,821.97

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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.