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Finding the Fourth Proportional to 47,760.83, 65,909.24 and 27,619.58

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Solution

The fourth proportional to 47,760.83, 65,909.24 and 27,619.58 is: 38,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,760.83 : 65,909.24 = 27,619.58 : x
  2. Step 2: Convert to fraction form
    47,760.83/65,909.24 = 27,619.58/x
  3. Step 3: Cross multiply
    47,760.83x = 65,909.24 × 27,619.58
  4. Step 4: Simplify right side
    47,760.83x = 1,820,385,526.92
  5. Step 5: Solve for x
    x = 1,820,385,526.92/47,760.83
  6. Step 6: Final answer
    x = 38,114.61

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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.