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Finding the Fourth Proportional to 47,674, 65,790.06 and 26,163.88

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Solution

The fourth proportional to 47,674, 65,790.06 and 26,163.88 is: 36,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,674 : 65,790.06 = 26,163.88 : x
  2. Step 2: Convert to fraction form
    47,674/65,790.06 = 26,163.88/x
  3. Step 3: Cross multiply
    47,674x = 65,790.06 × 26,163.88
  4. Step 4: Simplify right side
    47,674x = 1,721,323,235.03
  5. Step 5: Solve for x
    x = 1,721,323,235.03/47,674
  6. Step 6: Final answer
    x = 36,106.12

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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.