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Finding the Fourth Proportional to 47,698.24, 65,818.69 and 27,561.60

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Solution

The fourth proportional to 47,698.24, 65,818.69 and 27,561.60 is: 38,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.24 : 65,818.69 = 27,561.60 : x
  2. Step 2: Convert to fraction form
    47,698.24/65,818.69 = 27,561.60/x
  3. Step 3: Cross multiply
    47,698.24x = 65,818.69 × 27,561.60
  4. Step 4: Simplify right side
    47,698.24x = 1,814,068,406.30
  5. Step 5: Solve for x
    x = 1,814,068,406.30/47,698.24
  6. Step 6: Final answer
    x = 38,032.19

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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.