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Finding the Fourth Proportional to 37,172.96, 51,297.54 and 20,176.40

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Solution

The fourth proportional to 37,172.96, 51,297.54 and 20,176.40 is: 27,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,172.96 : 51,297.54 = 20,176.40 : x
  2. Step 2: Convert to fraction form
    37,172.96/51,297.54 = 20,176.40/x
  3. Step 3: Cross multiply
    37,172.96x = 51,297.54 × 20,176.40
  4. Step 4: Simplify right side
    37,172.96x = 1,034,999,686.06
  5. Step 5: Solve for x
    x = 1,034,999,686.06/37,172.96
  6. Step 6: Final answer
    x = 27,842.81

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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.