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Finding the Fourth Proportional to 47,698.93, 65,819.64 and 27,562.29

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Solution

The fourth proportional to 47,698.93, 65,819.64 and 27,562.29 is: 38,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.93 : 65,819.64 = 27,562.29 : x
  2. Step 2: Convert to fraction form
    47,698.93/65,819.64 = 27,562.29/x
  3. Step 3: Cross multiply
    47,698.93x = 65,819.64 × 27,562.29
  4. Step 4: Simplify right side
    47,698.93x = 1,814,140,077.11
  5. Step 5: Solve for x
    x = 1,814,140,077.11/47,698.93
  6. Step 6: Final answer
    x = 38,033.14

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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.