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Finding the Fourth Proportional to 75,405.51, 104,055.44 and 41,418.45

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Solution

The fourth proportional to 75,405.51, 104,055.44 and 41,418.45 is: 57,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,405.51 : 104,055.44 = 41,418.45 : x
  2. Step 2: Convert to fraction form
    75,405.51/104,055.44 = 41,418.45/x
  3. Step 3: Cross multiply
    75,405.51x = 104,055.44 × 41,418.45
  4. Step 4: Simplify right side
    75,405.51x = 4,309,814,831.78
  5. Step 5: Solve for x
    x = 4,309,814,831.78/75,405.51
  6. Step 6: Final answer
    x = 57,155.17

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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.