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Finding the Fourth Proportional to 83,343, 114,990.62 and 47,519.94

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Solution

The fourth proportional to 83,343, 114,990.62 and 47,519.94 is: 65,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,343 : 114,990.62 = 47,519.94 : x
  2. Step 2: Convert to fraction form
    83,343/114,990.62 = 47,519.94/x
  3. Step 3: Cross multiply
    83,343x = 114,990.62 × 47,519.94
  4. Step 4: Simplify right side
    83,343x = 5,464,347,125.36
  5. Step 5: Solve for x
    x = 5,464,347,125.36/83,343
  6. Step 6: Final answer
    x = 65,564.56

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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.