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Finding the Fourth Proportional to 75,102.57, 103,641.75 and 41,568.57

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Solution

The fourth proportional to 75,102.57, 103,641.75 and 41,568.57 is: 57,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102.57 : 103,641.75 = 41,568.57 : x
  2. Step 2: Convert to fraction form
    75,102.57/103,641.75 = 41,568.57/x
  3. Step 3: Cross multiply
    75,102.57x = 103,641.75 × 41,568.57
  4. Step 4: Simplify right side
    75,102.57x = 4,308,239,339.80
  5. Step 5: Solve for x
    x = 4,308,239,339.80/75,102.57
  6. Step 6: Final answer
    x = 57,364.74

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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.