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Finding the Fourth Proportional to 32,784.35, 45,214.40 and 27,704.43

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Solution

The fourth proportional to 32,784.35, 45,214.40 and 27,704.43 is: 38,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784.35 : 45,214.40 = 27,704.43 : x
  2. Step 2: Convert to fraction form
    32,784.35/45,214.40 = 27,704.43/x
  3. Step 3: Cross multiply
    32,784.35x = 45,214.40 × 27,704.43
  4. Step 4: Simplify right side
    32,784.35x = 1,252,639,249.05
  5. Step 5: Solve for x
    x = 1,252,639,249.05/32,784.35
  6. Step 6: Final answer
    x = 38,208.46

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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.