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Finding the Fourth Proportional to 83,329, 124,993.50 and 24,961

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Solution

The fourth proportional to 83,329, 124,993.50 and 24,961 is: 37,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,329 : 124,993.50 = 24,961 : x
  2. Step 2: Convert to fraction form
    83,329/124,993.50 = 24,961/x
  3. Step 3: Cross multiply
    83,329x = 124,993.50 × 24,961
  4. Step 4: Simplify right side
    83,329x = 3,119,962,753.50
  5. Step 5: Solve for x
    x = 3,119,962,753.50/83,329
  6. Step 6: Final answer
    x = 37,441.50

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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.