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Finding the Fourth Proportional to 47,133.40, 65,041.38 and 25,912.66

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Solution

The fourth proportional to 47,133.40, 65,041.38 and 25,912.66 is: 35,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,133.40 : 65,041.38 = 25,912.66 : x
  2. Step 2: Convert to fraction form
    47,133.40/65,041.38 = 25,912.66/x
  3. Step 3: Cross multiply
    47,133.40x = 65,041.38 × 25,912.66
  4. Step 4: Simplify right side
    47,133.40x = 1,685,395,165.87
  5. Step 5: Solve for x
    x = 1,685,395,165.87/47,133.40
  6. Step 6: Final answer
    x = 35,757.98

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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.