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Finding the Fourth Proportional to 75,294.74, 103,907.70 and 41,301

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Solution

The fourth proportional to 75,294.74, 103,907.70 and 41,301 is: 56,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294.74 : 103,907.70 = 41,301 : x
  2. Step 2: Convert to fraction form
    75,294.74/103,907.70 = 41,301/x
  3. Step 3: Cross multiply
    75,294.74x = 103,907.70 × 41,301
  4. Step 4: Simplify right side
    75,294.74x = 4,291,491,917.70
  5. Step 5: Solve for x
    x = 4,291,491,917.70/75,294.74
  6. Step 6: Final answer
    x = 56,995.91

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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.