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Finding the Fourth Proportional to 47,713.74, 65,847.02 and 26,493

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Solution

The fourth proportional to 47,713.74, 65,847.02 and 26,493 is: 36,561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,713.74 : 65,847.02 = 26,493 : x
  2. Step 2: Convert to fraction form
    47,713.74/65,847.02 = 26,493/x
  3. Step 3: Cross multiply
    47,713.74x = 65,847.02 × 26,493
  4. Step 4: Simplify right side
    47,713.74x = 1,744,484,968.40
  5. Step 5: Solve for x
    x = 1,744,484,968.40/47,713.74
  6. Step 6: Final answer
    x = 36,561.48

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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.