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Finding the Fourth Proportional to 45,791.46, 63,197.82 and 27,889.07

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Solution

The fourth proportional to 45,791.46, 63,197.82 and 27,889.07 is: 38,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,791.46 : 63,197.82 = 27,889.07 : x
  2. Step 2: Convert to fraction form
    45,791.46/63,197.82 = 27,889.07/x
  3. Step 3: Cross multiply
    45,791.46x = 63,197.82 × 27,889.07
  4. Step 4: Simplify right side
    45,791.46x = 1,762,528,109.84
  5. Step 5: Solve for x
    x = 1,762,528,109.84/45,791.46
  6. Step 6: Final answer
    x = 38,490.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.