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Finding the Fourth Proportional to 45,857, 63,282.66 and 27,005.72

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Solution

The fourth proportional to 45,857, 63,282.66 and 27,005.72 is: 37,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,857 : 63,282.66 = 27,005.72 : x
  2. Step 2: Convert to fraction form
    45,857/63,282.66 = 27,005.72/x
  3. Step 3: Cross multiply
    45,857x = 63,282.66 × 27,005.72
  4. Step 4: Simplify right side
    45,857x = 1,708,993,796.82
  5. Step 5: Solve for x
    x = 1,708,993,796.82/45,857
  6. Step 6: Final answer
    x = 37,267.89

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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.