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Finding the Fourth Proportional to 75,057, 103,578.66 and 41,525.16

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Solution

The fourth proportional to 75,057, 103,578.66 and 41,525.16 is: 57,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,057 : 103,578.66 = 41,525.16 : x
  2. Step 2: Convert to fraction form
    75,057/103,578.66 = 41,525.16/x
  3. Step 3: Cross multiply
    75,057x = 103,578.66 × 41,525.16
  4. Step 4: Simplify right side
    75,057x = 4,301,120,429.09
  5. Step 5: Solve for x
    x = 4,301,120,429.09/75,057
  6. Step 6: Final answer
    x = 57,304.72

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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.