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Finding the Fourth Proportional to 86,920.12, 119,946.72 and 49,193.56

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Solution

The fourth proportional to 86,920.12, 119,946.72 and 49,193.56 is: 67,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,920.12 : 119,946.72 = 49,193.56 : x
  2. Step 2: Convert to fraction form
    86,920.12/119,946.72 = 49,193.56/x
  3. Step 3: Cross multiply
    86,920.12x = 119,946.72 × 49,193.56
  4. Step 4: Simplify right side
    86,920.12x = 5,900,606,167.12
  5. Step 5: Solve for x
    x = 5,900,606,167.12/86,920.12
  6. Step 6: Final answer
    x = 67,885.39

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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.