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Finding the Fourth Proportional to 47,806.25, 65,986.52 and 31,890.66

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Solution

The fourth proportional to 47,806.25, 65,986.52 and 31,890.66 is: 44,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,806.25 : 65,986.52 = 31,890.66 : x
  2. Step 2: Convert to fraction form
    47,806.25/65,986.52 = 31,890.66/x
  3. Step 3: Cross multiply
    47,806.25x = 65,986.52 × 31,890.66
  4. Step 4: Simplify right side
    47,806.25x = 2,104,353,673.90
  5. Step 5: Solve for x
    x = 2,104,353,673.90/47,806.25
  6. Step 6: Final answer
    x = 44,018.38

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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.