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Finding the Fourth Proportional to 74,251, 111,097.50 and 52,107.58

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Solution

The fourth proportional to 74,251, 111,097.50 and 52,107.58 is: 77,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,251 : 111,097.50 = 52,107.58 : x
  2. Step 2: Convert to fraction form
    74,251/111,097.50 = 52,107.58/x
  3. Step 3: Cross multiply
    74,251x = 111,097.50 × 52,107.58
  4. Step 4: Simplify right side
    74,251x = 5,789,021,869.05
  5. Step 5: Solve for x
    x = 5,789,021,869.05/74,251
  6. Step 6: Final answer
    x = 77,965.57

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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.