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Finding the Fourth Proportional to 47,116.40, 65,021.64 and 25,896

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Solution

The fourth proportional to 47,116.40, 65,021.64 and 25,896 is: 35,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,116.40 : 65,021.64 = 25,896 : x
  2. Step 2: Convert to fraction form
    47,116.40/65,021.64 = 25,896/x
  3. Step 3: Cross multiply
    47,116.40x = 65,021.64 × 25,896
  4. Step 4: Simplify right side
    47,116.40x = 1,683,800,389.44
  5. Step 5: Solve for x
    x = 1,683,800,389.44/47,116.40
  6. Step 6: Final answer
    x = 35,737.03

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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.