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Finding the Fourth Proportional to 49,648.86, 68,498.65 and 28,136.34

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Solution

The fourth proportional to 49,648.86, 68,498.65 and 28,136.34 is: 38,818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648.86 : 68,498.65 = 28,136.34 : x
  2. Step 2: Convert to fraction form
    49,648.86/68,498.65 = 28,136.34/x
  3. Step 3: Cross multiply
    49,648.86x = 68,498.65 × 28,136.34
  4. Step 4: Simplify right side
    49,648.86x = 1,927,301,305.94
  5. Step 5: Solve for x
    x = 1,927,301,305.94/49,648.86
  6. Step 6: Final answer
    x = 38,818.64

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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.