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Finding the Fourth Proportional to 67,827.80, 101,741.70 and 54,705.80

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Solution

The fourth proportional to 67,827.80, 101,741.70 and 54,705.80 is: 82,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,827.80 : 101,741.70 = 54,705.80 : x
  2. Step 2: Convert to fraction form
    67,827.80/101,741.70 = 54,705.80/x
  3. Step 3: Cross multiply
    67,827.80x = 101,741.70 × 54,705.80
  4. Step 4: Simplify right side
    67,827.80x = 5,565,861,091.86
  5. Step 5: Solve for x
    x = 5,565,861,091.86/67,827.80
  6. Step 6: Final answer
    x = 82,058.70

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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.