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Finding the Fourth Proportional to 47,786.82, 65,946.57 and 26,277.48

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Solution

The fourth proportional to 47,786.82, 65,946.57 and 26,277.48 is: 36,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,786.82 : 65,946.57 = 26,277.48 : x
  2. Step 2: Convert to fraction form
    47,786.82/65,946.57 = 26,277.48/x
  3. Step 3: Cross multiply
    47,786.82x = 65,946.57 × 26,277.48
  4. Step 4: Simplify right side
    47,786.82x = 1,732,909,674.24
  5. Step 5: Solve for x
    x = 1,732,909,674.24/47,786.82
  6. Step 6: Final answer
    x = 36,263.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.