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Finding the Fourth Proportional to 38,209.53, 52,714.67 and 28,161.99

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Solution

The fourth proportional to 38,209.53, 52,714.67 and 28,161.99 is: 38,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.53 : 52,714.67 = 28,161.99 : x
  2. Step 2: Convert to fraction form
    38,209.53/52,714.67 = 28,161.99/x
  3. Step 3: Cross multiply
    38,209.53x = 52,714.67 × 28,161.99
  4. Step 4: Simplify right side
    38,209.53x = 1,484,550,079.80
  5. Step 5: Solve for x
    x = 1,484,550,079.80/38,209.53
  6. Step 6: Final answer
    x = 38,852.87

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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.