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Finding the Fourth Proportional to 58,202, 80,318.76 and 31,706

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Solution

The fourth proportional to 58,202, 80,318.76 and 31,706 is: 43,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,202 : 80,318.76 = 31,706 : x
  2. Step 2: Convert to fraction form
    58,202/80,318.76 = 31,706/x
  3. Step 3: Cross multiply
    58,202x = 80,318.76 × 31,706
  4. Step 4: Simplify right side
    58,202x = 2,546,586,604.56
  5. Step 5: Solve for x
    x = 2,546,586,604.56/58,202
  6. Step 6: Final answer
    x = 43,754.28

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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.