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Finding the Fourth Proportional to 47,323.44, 65,314.08 and 28,204.20

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Solution

The fourth proportional to 47,323.44, 65,314.08 and 28,204.20 is: 38,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,323.44 : 65,314.08 = 28,204.20 : x
  2. Step 2: Convert to fraction form
    47,323.44/65,314.08 = 28,204.20/x
  3. Step 3: Cross multiply
    47,323.44x = 65,314.08 × 28,204.20
  4. Step 4: Simplify right side
    47,323.44x = 1,842,131,375.14
  5. Step 5: Solve for x
    x = 1,842,131,375.14/47,323.44
  6. Step 6: Final answer
    x = 38,926.40

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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.