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Finding the Fourth Proportional to 83,506.76, 115,234.44 and 49,518.51

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Solution

The fourth proportional to 83,506.76, 115,234.44 and 49,518.51 is: 68,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,506.76 : 115,234.44 = 49,518.51 : x
  2. Step 2: Convert to fraction form
    83,506.76/115,234.44 = 49,518.51/x
  3. Step 3: Cross multiply
    83,506.76x = 115,234.44 × 49,518.51
  4. Step 4: Simplify right side
    83,506.76x = 5,706,237,769.48
  5. Step 5: Solve for x
    x = 5,706,237,769.48/83,506.76
  6. Step 6: Final answer
    x = 68,332.65

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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.