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Finding the Fourth Proportional to 53,506.94, 80,243.96 and 42,951.96

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Solution

The fourth proportional to 53,506.94, 80,243.96 and 42,951.96 is: 64,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,506.94 : 80,243.96 = 42,951.96 : x
  2. Step 2: Convert to fraction form
    53,506.94/80,243.96 = 42,951.96/x
  3. Step 3: Cross multiply
    53,506.94x = 80,243.96 × 42,951.96
  4. Step 4: Simplify right side
    53,506.94x = 3,446,635,145.40
  5. Step 5: Solve for x
    x = 3,446,635,145.40/53,506.94
  6. Step 6: Final answer
    x = 64,414.74

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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.