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Finding the Fourth Proportional to 47,110.86, 65,013.03 and 25,891.20

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Solution

The fourth proportional to 47,110.86, 65,013.03 and 25,891.20 is: 35,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,110.86 : 65,013.03 = 25,891.20 : x
  2. Step 2: Convert to fraction form
    47,110.86/65,013.03 = 25,891.20/x
  3. Step 3: Cross multiply
    47,110.86x = 65,013.03 × 25,891.20
  4. Step 4: Simplify right side
    47,110.86x = 1,683,265,362.34
  5. Step 5: Solve for x
    x = 1,683,265,362.34/47,110.86
  6. Step 6: Final answer
    x = 35,729.88

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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.