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Finding the Fourth Proportional to 54,055.68, 74,609.28 and 31,706.88

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Solution

The fourth proportional to 54,055.68, 74,609.28 and 31,706.88 is: 43,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,055.68 : 74,609.28 = 31,706.88 : x
  2. Step 2: Convert to fraction form
    54,055.68/74,609.28 = 31,706.88/x
  3. Step 3: Cross multiply
    54,055.68x = 74,609.28 × 31,706.88
  4. Step 4: Simplify right side
    54,055.68x = 2,365,627,487.85
  5. Step 5: Solve for x
    x = 2,365,627,487.85/54,055.68
  6. Step 6: Final answer
    x = 43,762.79

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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.