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Finding the Fourth Proportional to 54,214.59, 74,824.02 and 31,239.96

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Solution

The fourth proportional to 54,214.59, 74,824.02 and 31,239.96 is: 43,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,214.59 : 74,824.02 = 31,239.96 : x
  2. Step 2: Convert to fraction form
    54,214.59/74,824.02 = 31,239.96/x
  3. Step 3: Cross multiply
    54,214.59x = 74,824.02 × 31,239.96
  4. Step 4: Simplify right side
    54,214.59x = 2,337,499,111.25
  5. Step 5: Solve for x
    x = 2,337,499,111.25/54,214.59
  6. Step 6: Final answer
    x = 43,115.68

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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.