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Finding the Fourth Proportional to 58,228.56, 80,274 and 49,239.96

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Solution

The fourth proportional to 58,228.56, 80,274 and 49,239.96 is: 67,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,228.56 : 80,274 = 49,239.96 : x
  2. Step 2: Convert to fraction form
    58,228.56/80,274 = 49,239.96/x
  3. Step 3: Cross multiply
    58,228.56x = 80,274 × 49,239.96
  4. Step 4: Simplify right side
    58,228.56x = 3,952,688,549.04
  5. Step 5: Solve for x
    x = 3,952,688,549.04/58,228.56
  6. Step 6: Final answer
    x = 67,882.30

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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.