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Finding the Fourth Proportional to 41,572.28, 57,326.10 and 27,407

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Solution

The fourth proportional to 41,572.28, 57,326.10 and 27,407 is: 37,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,572.28 : 57,326.10 = 27,407 : x
  2. Step 2: Convert to fraction form
    41,572.28/57,326.10 = 27,407/x
  3. Step 3: Cross multiply
    41,572.28x = 57,326.10 × 27,407
  4. Step 4: Simplify right side
    41,572.28x = 1,571,136,422.70
  5. Step 5: Solve for x
    x = 1,571,136,422.70/41,572.28
  6. Step 6: Final answer
    x = 37,792.89

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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.