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Finding the Fourth Proportional to 51,989.54, 71,712.54 and 34,085.71

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Solution

The fourth proportional to 51,989.54, 71,712.54 and 34,085.71 is: 47,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,989.54 : 71,712.54 = 34,085.71 : x
  2. Step 2: Convert to fraction form
    51,989.54/71,712.54 = 34,085.71/x
  3. Step 3: Cross multiply
    51,989.54x = 71,712.54 × 34,085.71
  4. Step 4: Simplify right side
    51,989.54x = 2,444,372,662.52
  5. Step 5: Solve for x
    x = 2,444,372,662.52/51,989.54
  6. Step 6: Final answer
    x = 47,016.62

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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.