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Finding the Fourth Proportional to 82,934.60, 124,401.90 and 27,530.60

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Solution

The fourth proportional to 82,934.60, 124,401.90 and 27,530.60 is: 41,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,934.60 : 124,401.90 = 27,530.60 : x
  2. Step 2: Convert to fraction form
    82,934.60/124,401.90 = 27,530.60/x
  3. Step 3: Cross multiply
    82,934.60x = 124,401.90 × 27,530.60
  4. Step 4: Simplify right side
    82,934.60x = 3,424,858,948.14
  5. Step 5: Solve for x
    x = 3,424,858,948.14/82,934.60
  6. Step 6: Final answer
    x = 41,295.90

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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.