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Finding the Fourth Proportional to 82,966.60, 124,433.70 and 27,562.60

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Solution

The fourth proportional to 82,966.60, 124,433.70 and 27,562.60 is: 41,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,966.60 : 124,433.70 = 27,562.60 : x
  2. Step 2: Convert to fraction form
    82,966.60/124,433.70 = 27,562.60/x
  3. Step 3: Cross multiply
    82,966.60x = 124,433.70 × 27,562.60
  4. Step 4: Simplify right side
    82,966.60x = 3,429,716,299.62
  5. Step 5: Solve for x
    x = 3,429,716,299.62/82,966.60
  6. Step 6: Final answer
    x = 41,338.52

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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.