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Finding the Fourth Proportional to 75,453, 104,125.14 and 41,919

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Solution

The fourth proportional to 75,453, 104,125.14 and 41,919 is: 57,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,453 : 104,125.14 = 41,919 : x
  2. Step 2: Convert to fraction form
    75,453/104,125.14 = 41,919/x
  3. Step 3: Cross multiply
    75,453x = 104,125.14 × 41,919
  4. Step 4: Simplify right side
    75,453x = 4,364,821,743.66
  5. Step 5: Solve for x
    x = 4,364,821,743.66/75,453
  6. Step 6: Final answer
    x = 57,848.22

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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.