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Finding the Fourth Proportional to 75,114.30, 103,657.73 and 41,580.30

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Solution

The fourth proportional to 75,114.30, 103,657.73 and 41,580.30 is: 57,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114.30 : 103,657.73 = 41,580.30 : x
  2. Step 2: Convert to fraction form
    75,114.30/103,657.73 = 41,580.30/x
  3. Step 3: Cross multiply
    75,114.30x = 103,657.73 × 41,580.30
  4. Step 4: Simplify right side
    75,114.30x = 4,310,119,510.72
  5. Step 5: Solve for x
    x = 4,310,119,510.72/75,114.30
  6. Step 6: Final answer
    x = 57,380.81

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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.