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Finding the Fourth Proportional to 42,853.50, 64,321.72 and 20,682.49

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Solution

The fourth proportional to 42,853.50, 64,321.72 and 20,682.49 is: 31,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,853.50 : 64,321.72 = 20,682.49 : x
  2. Step 2: Convert to fraction form
    42,853.50/64,321.72 = 20,682.49/x
  3. Step 3: Cross multiply
    42,853.50x = 64,321.72 × 20,682.49
  4. Step 4: Simplify right side
    42,853.50x = 1,330,333,118.17
  5. Step 5: Solve for x
    x = 1,330,333,118.17/42,853.50
  6. Step 6: Final answer
    x = 31,043.74

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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.