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Finding the Fourth Proportional to 47,091.09, 64,983 and 25,869.90

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Solution

The fourth proportional to 47,091.09, 64,983 and 25,869.90 is: 35,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,091.09 : 64,983 = 25,869.90 : x
  2. Step 2: Convert to fraction form
    47,091.09/64,983 = 25,869.90/x
  3. Step 3: Cross multiply
    47,091.09x = 64,983 × 25,869.90
  4. Step 4: Simplify right side
    47,091.09x = 1,681,103,711.70
  5. Step 5: Solve for x
    x = 1,681,103,711.70/47,091.09
  6. Step 6: Final answer
    x = 35,698.98

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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.