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Finding the Fourth Proportional to 65,922.30, 90,970.83 and 37,243.31

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Solution

The fourth proportional to 65,922.30, 90,970.83 and 37,243.31 is: 51,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,922.30 : 90,970.83 = 37,243.31 : x
  2. Step 2: Convert to fraction form
    65,922.30/90,970.83 = 37,243.31/x
  3. Step 3: Cross multiply
    65,922.30x = 90,970.83 × 37,243.31
  4. Step 4: Simplify right side
    65,922.30x = 3,388,054,367.79
  5. Step 5: Solve for x
    x = 3,388,054,367.79/65,922.30
  6. Step 6: Final answer
    x = 51,394.66

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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.