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Finding the Fourth Proportional to 73,877.90, 110,834.37 and 23,958

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Solution

The fourth proportional to 73,877.90, 110,834.37 and 23,958 is: 35,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,877.90 : 110,834.37 = 23,958 : x
  2. Step 2: Convert to fraction form
    73,877.90/110,834.37 = 23,958/x
  3. Step 3: Cross multiply
    73,877.90x = 110,834.37 × 23,958
  4. Step 4: Simplify right side
    73,877.90x = 2,655,369,836.46
  5. Step 5: Solve for x
    x = 2,655,369,836.46/73,877.90
  6. Step 6: Final answer
    x = 35,942.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.