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Finding the Fourth Proportional to 47,527.68, 65,573.12 and 27,651.84

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Solution

The fourth proportional to 47,527.68, 65,573.12 and 27,651.84 is: 38,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,527.68 : 65,573.12 = 27,651.84 : x
  2. Step 2: Convert to fraction form
    47,527.68/65,573.12 = 27,651.84/x
  3. Step 3: Cross multiply
    47,527.68x = 65,573.12 × 27,651.84
  4. Step 4: Simplify right side
    47,527.68x = 1,813,217,422.54
  5. Step 5: Solve for x
    x = 1,813,217,422.54/47,527.68
  6. Step 6: Final answer
    x = 38,150.77

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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.