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Finding the Fourth Proportional to 47,141.70, 65,055.78 and 25,922.34

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Solution

The fourth proportional to 47,141.70, 65,055.78 and 25,922.34 is: 35,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,141.70 : 65,055.78 = 25,922.34 : x
  2. Step 2: Convert to fraction form
    47,141.70/65,055.78 = 25,922.34/x
  3. Step 3: Cross multiply
    47,141.70x = 65,055.78 × 25,922.34
  4. Step 4: Simplify right side
    47,141.70x = 1,686,398,048.13
  5. Step 5: Solve for x
    x = 1,686,398,048.13/47,141.70
  6. Step 6: Final answer
    x = 35,772.96

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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.