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Finding the Fourth Proportional to 31,784.40, 47,676.60 and 22,404.60

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Solution

The fourth proportional to 31,784.40, 47,676.60 and 22,404.60 is: 33,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784.40 : 47,676.60 = 22,404.60 : x
  2. Step 2: Convert to fraction form
    31,784.40/47,676.60 = 22,404.60/x
  3. Step 3: Cross multiply
    31,784.40x = 47,676.60 × 22,404.60
  4. Step 4: Simplify right side
    31,784.40x = 1,068,175,152.36
  5. Step 5: Solve for x
    x = 1,068,175,152.36/31,784.40
  6. Step 6: Final answer
    x = 33,606.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.