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Finding the Fourth Proportional to 75,175, 103,741.73 and 41,641

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Solution

The fourth proportional to 75,175, 103,741.73 and 41,641 is: 57,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,175 : 103,741.73 = 41,641 : x
  2. Step 2: Convert to fraction form
    75,175/103,741.73 = 41,641/x
  3. Step 3: Cross multiply
    75,175x = 103,741.73 × 41,641
  4. Step 4: Simplify right side
    75,175x = 4,319,909,378.93
  5. Step 5: Solve for x
    x = 4,319,909,378.93/75,175
  6. Step 6: Final answer
    x = 57,464.71

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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.