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Finding the Fourth Proportional to 37,175.29, 51,302.80 and 20,180.23

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Solution

The fourth proportional to 37,175.29, 51,302.80 and 20,180.23 is: 27,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175.29 : 51,302.80 = 20,180.23 : x
  2. Step 2: Convert to fraction form
    37,175.29/51,302.80 = 20,180.23/x
  3. Step 3: Cross multiply
    37,175.29x = 51,302.80 × 20,180.23
  4. Step 4: Simplify right side
    37,175.29x = 1,035,302,200.61
  5. Step 5: Solve for x
    x = 1,035,302,200.61/37,175.29
  6. Step 6: Final answer
    x = 27,849.20

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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.