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Finding the Fourth Proportional to 47,285.84, 65,257.80 and 27,146

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Solution

The fourth proportional to 47,285.84, 65,257.80 and 27,146 is: 37,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,285.84 : 65,257.80 = 27,146 : x
  2. Step 2: Convert to fraction form
    47,285.84/65,257.80 = 27,146/x
  3. Step 3: Cross multiply
    47,285.84x = 65,257.80 × 27,146
  4. Step 4: Simplify right side
    47,285.84x = 1,771,488,238.80
  5. Step 5: Solve for x
    x = 1,771,488,238.80/47,285.84
  6. Step 6: Final answer
    x = 37,463.40

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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.