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Finding the Fourth Proportional to 52,574.26, 78,831.09 and 35,954.44

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Solution

The fourth proportional to 52,574.26, 78,831.09 and 35,954.44 is: 53,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,574.26 : 78,831.09 = 35,954.44 : x
  2. Step 2: Convert to fraction form
    52,574.26/78,831.09 = 35,954.44/x
  3. Step 3: Cross multiply
    52,574.26x = 78,831.09 × 35,954.44
  4. Step 4: Simplify right side
    52,574.26x = 2,834,327,301.38
  5. Step 5: Solve for x
    x = 2,834,327,301.38/52,574.26
  6. Step 6: Final answer
    x = 53,910.93

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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.