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Finding the Fourth Proportional to 47,677.33, 65,797.86 and 27,535.06

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Solution

The fourth proportional to 47,677.33, 65,797.86 and 27,535.06 is: 38,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,677.33 : 65,797.86 = 27,535.06 : x
  2. Step 2: Convert to fraction form
    47,677.33/65,797.86 = 27,535.06/x
  3. Step 3: Cross multiply
    47,677.33x = 65,797.86 × 27,535.06
  4. Step 4: Simplify right side
    47,677.33x = 1,811,748,022.97
  5. Step 5: Solve for x
    x = 1,811,748,022.97/47,677.33
  6. Step 6: Final answer
    x = 38,000.20

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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.