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Finding the Fourth Proportional to 49,129.93, 67,798.96 and 27,909.20

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Solution

The fourth proportional to 49,129.93, 67,798.96 and 27,909.20 is: 38,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,129.93 : 67,798.96 = 27,909.20 : x
  2. Step 2: Convert to fraction form
    49,129.93/67,798.96 = 27,909.20/x
  3. Step 3: Cross multiply
    49,129.93x = 67,798.96 × 27,909.20
  4. Step 4: Simplify right side
    49,129.93x = 1,892,214,563.49
  5. Step 5: Solve for x
    x = 1,892,214,563.49/49,129.93
  6. Step 6: Final answer
    x = 38,514.50

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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.