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Finding the Fourth Proportional to 58,085, 80,144.94 and 34,202.96

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Solution

The fourth proportional to 58,085, 80,144.94 and 34,202.96 is: 47,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,085 : 80,144.94 = 34,202.96 : x
  2. Step 2: Convert to fraction form
    58,085/80,144.94 = 34,202.96/x
  3. Step 3: Cross multiply
    58,085x = 80,144.94 × 34,202.96
  4. Step 4: Simplify right side
    58,085x = 2,741,194,177.02
  5. Step 5: Solve for x
    x = 2,741,194,177.02/58,085
  6. Step 6: Final answer
    x = 47,192.81

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1.5x scale

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.