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Finding the Fourth Proportional to 27,419.44, 40,930.64 and 24,097.96

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Solution

The fourth proportional to 27,419.44, 40,930.64 and 24,097.96 is: 35,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.44 : 40,930.64 = 24,097.96 : x
  2. Step 2: Convert to fraction form
    27,419.44/40,930.64 = 24,097.96/x
  3. Step 3: Cross multiply
    27,419.44x = 40,930.64 × 24,097.96
  4. Step 4: Simplify right side
    27,419.44x = 986,344,925.49
  5. Step 5: Solve for x
    x = 986,344,925.49/27,419.44
  6. Step 6: Final answer
    x = 35,972.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.