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Finding the Fourth Proportional to 75,900.66, 113,831.46 and 22,578.81

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Solution

The fourth proportional to 75,900.66, 113,831.46 and 22,578.81 is: 33,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,900.66 : 113,831.46 = 22,578.81 : x
  2. Step 2: Convert to fraction form
    75,900.66/113,831.46 = 22,578.81/x
  3. Step 3: Cross multiply
    75,900.66x = 113,831.46 × 22,578.81
  4. Step 4: Simplify right side
    75,900.66x = 2,570,178,907.36
  5. Step 5: Solve for x
    x = 2,570,178,907.36/75,900.66
  6. Step 6: Final answer
    x = 33,862.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.