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Finding the Fourth Proportional to 75,235.25, 103,824.66 and 41,701.25

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Solution

The fourth proportional to 75,235.25, 103,824.66 and 41,701.25 is: 57,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,235.25 : 103,824.66 = 41,701.25 : x
  2. Step 2: Convert to fraction form
    75,235.25/103,824.66 = 41,701.25/x
  3. Step 3: Cross multiply
    75,235.25x = 103,824.66 × 41,701.25
  4. Step 4: Simplify right side
    75,235.25x = 4,329,618,102.83
  5. Step 5: Solve for x
    x = 4,329,618,102.83/75,235.25
  6. Step 6: Final answer
    x = 57,547.73

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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.