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Finding the Fourth Proportional to 71,825.68, 107,591.64 and 58,546

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Solution

The fourth proportional to 71,825.68, 107,591.64 and 58,546 is: 87,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,825.68 : 107,591.64 = 58,546 : x
  2. Step 2: Convert to fraction form
    71,825.68/107,591.64 = 58,546/x
  3. Step 3: Cross multiply
    71,825.68x = 107,591.64 × 58,546
  4. Step 4: Simplify right side
    71,825.68x = 6,299,060,155.44
  5. Step 5: Solve for x
    x = 6,299,060,155.44/71,825.68
  6. Step 6: Final answer
    x = 87,699.28

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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.