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Finding the Fourth Proportional to 47,296.64, 65,251 and 27,146.24

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Solution

The fourth proportional to 47,296.64, 65,251 and 27,146.24 is: 37,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,296.64 : 65,251 = 27,146.24 : x
  2. Step 2: Convert to fraction form
    47,296.64/65,251 = 27,146.24/x
  3. Step 3: Cross multiply
    47,296.64x = 65,251 × 27,146.24
  4. Step 4: Simplify right side
    47,296.64x = 1,771,319,306.24
  5. Step 5: Solve for x
    x = 1,771,319,306.24/47,296.64
  6. Step 6: Final answer
    x = 37,451.27

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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.