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Finding the Fourth Proportional to 47,212.96, 65,153.34 and 25,991.80

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Solution

The fourth proportional to 47,212.96, 65,153.34 and 25,991.80 is: 35,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,212.96 : 65,153.34 = 25,991.80 : x
  2. Step 2: Convert to fraction form
    47,212.96/65,153.34 = 25,991.80/x
  3. Step 3: Cross multiply
    47,212.96x = 65,153.34 × 25,991.80
  4. Step 4: Simplify right side
    47,212.96x = 1,693,452,582.61
  5. Step 5: Solve for x
    x = 1,693,452,582.61/47,212.96
  6. Step 6: Final answer
    x = 35,868.38

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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.