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Finding the Fourth Proportional to 47,648.34, 65,757.69 and 27,508.91

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Solution

The fourth proportional to 47,648.34, 65,757.69 and 27,508.91 is: 37,964.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,648.34 : 65,757.69 = 27,508.91 : x
  2. Step 2: Convert to fraction form
    47,648.34/65,757.69 = 27,508.91/x
  3. Step 3: Cross multiply
    47,648.34x = 65,757.69 × 27,508.91
  4. Step 4: Simplify right side
    47,648.34x = 1,808,922,047.23
  5. Step 5: Solve for x
    x = 1,808,922,047.23/47,648.34
  6. Step 6: Final answer
    x = 37,964.01

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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.