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Finding the Fourth Proportional to 75,405.62, 104,060.70 and 41,409.14

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Solution

The fourth proportional to 75,405.62, 104,060.70 and 41,409.14 is: 57,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,405.62 : 104,060.70 = 41,409.14 : x
  2. Step 2: Convert to fraction form
    75,405.62/104,060.70 = 41,409.14/x
  3. Step 3: Cross multiply
    75,405.62x = 104,060.70 × 41,409.14
  4. Step 4: Simplify right side
    75,405.62x = 4,309,064,094.80
  5. Step 5: Solve for x
    x = 4,309,064,094.80/75,405.62
  6. Step 6: Final answer
    x = 57,145.13

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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.